{"id":"https://openalex.org/W3108477551","doi":"https://doi.org/10.1093/jigpal/jzab024","title":"Algebraic Properties of Paraorthomodular Posets","display_name":"Algebraic Properties of Paraorthomodular Posets","publication_year":2021,"publication_date":"2021-06-09","ids":{"openalex":"https://openalex.org/W3108477551","doi":"https://doi.org/10.1093/jigpal/jzab024","mag":"3108477551"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzab024","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzab024","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2011.12791","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005373819","display_name":"Ivan Chajda","orcid":"https://orcid.org/0000-0003-3840-3879"},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ivan Chajda","raw_affiliation_strings":["Faculty of Science Department of Algebra and Geometry, Palack\u00fd University Olomouc , 17. listopadu 12, 771 46 Olomouc, Czech Republic","Faculty of Science Department of Algebra and Geometry, Palack\u00fd University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Science Department of Algebra and Geometry, Palack\u00fd University Olomouc , 17. listopadu 12, 771 46 Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]},{"raw_affiliation_string":"Faculty of Science Department of Algebra and Geometry, Palack\u00fd University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019950782","display_name":"Davide Fazio","orcid":"https://orcid.org/0000-0001-8136-732X"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Davide Fazio","raw_affiliation_strings":["A.Lo.P.Hi.S Research Group, University of Cagliari Via Is Mirrionis 1 , 09123 Cagliari, Italy","A.Lo.P.Hi.S Research Group, University of Cagliari Via Is Mirrionis 1, 09123 Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"A.Lo.P.Hi.S Research Group, University of Cagliari Via Is Mirrionis 1 , 09123 Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"A.Lo.P.Hi.S Research Group, University of Cagliari Via Is Mirrionis 1, 09123 Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063985495","display_name":"Helmut L\u00e4nger","orcid":"https://orcid.org/0000-0002-7030-4080"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["AT","CZ"],"is_corresponding":false,"raw_author_name":"Helmut L\u00e4nger","raw_affiliation_strings":["TU Wien Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry , Wiedner Hauptstra\u00dfe 8-10, 1040 Vienna, Austria, and Faculty of Science Department of Algebra and Geometry, Palack\u00fd University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic","TU Wien, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"TU Wien Faculty of Mathematics and Geoinformation, Institute of Discrete Mathematics and Geometry , Wiedner Hauptstra\u00dfe 8-10, 1040 Vienna, Austria, and Faculty of Science Department of Algebra and Geometry, Palack\u00fd University Olomouc, 17. listopadu 12, 771 46 Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428","https://openalex.org/I145847075"]},{"raw_affiliation_string":"TU Wien, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010857507","display_name":"Antonio Ledda","orcid":"https://orcid.org/0000-0003-2569-7214"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Antonio Ledda","raw_affiliation_strings":["A.Lo.P.Hi.S Research Group University of Cagliari Via Is Mirrionis 1 , 09123 Cagliari, Italy","A.Lo.P.Hi.S Research Group, University of Cagliari Via Is Mirrionis 1, 09123 Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"A.Lo.P.Hi.S Research Group University of Cagliari Via Is Mirrionis 1 , 09123 Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]},{"raw_affiliation_string":"A.Lo.P.Hi.S Research Group, University of Cagliari Via Is Mirrionis 1, 09123 Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031218124","display_name":"Jan Paseka","orcid":"https://orcid.org/0000-0001-6658-6647"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Paseka","raw_affiliation_strings":["Faculty of Science Department of Mathematics and Statistics, Masaryk University Brno , Kotl\u00e1\u0159sk\u00e1 2, 611 37 Brno, Czech Republic","Faculty of Science Department of Mathematics and Statistics, Masaryk University Brno, Kotl\u00e1\u0159sk\u00e1 2, 611 37 Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Science Department of Mathematics and Statistics, Masaryk University Brno , Kotl\u00e1\u0159sk\u00e1 2, 611 37 Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Faculty of Science Department of Mathematics and Statistics, Masaryk University Brno, Kotl\u00e1\u0159sk\u00e1 2, 611 37 Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5010857507"],"corresponding_institution_ids":["https://openalex.org/I172446870"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.030592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"5","first_page":"840","last_page":"869"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7516992092132568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7379860877990723},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5929237604141235},{"id":"https://openalex.org/keywords/dedekind-cut","display_name":"Dedekind cut","score":0.5917108058929443},{"id":"https://openalex.org/keywords/involution","display_name":"Involution (esoterism)","score":0.5670897364616394},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"Algebraic properties","score":0.5034429430961609},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5000219345092773},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4170806407928467},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.41348177194595337},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.387920618057251},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35085371136665344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32162144780158997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07185143232345581}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7516992092132568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7379860877990723},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5929237604141235},{"id":"https://openalex.org/C76449584","wikidata":"https://www.wikidata.org/wiki/Q851333","display_name":"Dedekind cut","level":2,"score":0.5917108058929443},{"id":"https://openalex.org/C2781409172","wikidata":"https://www.wikidata.org/wiki/Q17056802","display_name":"Involution (esoterism)","level":3,"score":0.5670897364616394},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.5034429430961609},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5000219345092773},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4170806407928467},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.41348177194595337},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.387920618057251},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35085371136665344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32162144780158997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07185143232345581},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1093/jigpal/jzab024","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzab024","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2011.12791","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.12791","pdf_url":"https://arxiv.org/pdf/2011.12791","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3108477551","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2011.12791","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:iris.unica.it:11584/334708","is_oa":false,"landing_page_url":"https://hdl.handle.net/11584/334708","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:research.unite.it:11575/141525","is_oa":false,"landing_page_url":"https://hdl.handle.net/11575/141525","pdf_url":null,"source":{"id":"https://openalex.org/S4306401171","display_name":"UniTERAMO Research Catalog (University of Teramo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124326101","host_organization_name":"University of Teramo","host_organization_lineage":["https://openalex.org/I124326101"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2011.12791","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2011.12791","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2011.12791","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.12791","pdf_url":"https://arxiv.org/pdf/2011.12791","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1616377592","display_name":null,"funder_award_id":"20173WKCM5","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G2447788411","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2989579986","display_name":"Nano-MRI_Optimisation of Nanoparticles for Magnetic Resonance Imaging","funder_award_id":"N 201","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3149841404","display_name":null,"funder_award_id":"F72F20000410007","funder_id":"https://openalex.org/F4320315324","funder_display_name":"Fondazione di Sardegna"},{"id":"https://openalex.org/G3422143364","display_name":null,"funder_award_id":"PRIN 2017","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G432514772","display_name":null,"funder_award_id":"MUNI/G/1211/2017","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7620661493","display_name":null,"funder_award_id":"20-09869L","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7649835187","display_name":null,"funder_award_id":"I 4579-N","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7669781886","display_name":null,"funder_award_id":"P\u0159F 2020 014","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8089125395","display_name":"The many facets of orthomodularity","funder_award_id":"I 4579","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G8445094685","display_name":null,"funder_award_id":"CZ 02/2019","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8646970273","display_name":null,"funder_award_id":"2013YP4N3","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320315324","display_name":"Fondazione di Sardegna","ror":"https://ror.org/02sryfh37"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320326069","display_name":"Regione Autonoma della Sardegna","ror":null},{"id":"https://openalex.org/F4320326548","display_name":"Masarykova Univerzita","ror":"https://ror.org/02j46qs45"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3108477551.pdf","grobid_xml":"https://content.openalex.org/works/W3108477551.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W823309","https://openalex.org/W200729813","https://openalex.org/W641470562","https://openalex.org/W1599237352","https://openalex.org/W1599755535","https://openalex.org/W1606499541","https://openalex.org/W1818487909","https://openalex.org/W1964857141","https://openalex.org/W1969490642","https://openalex.org/W1981543782","https://openalex.org/W1986583380","https://openalex.org/W2010534683","https://openalex.org/W2023456441","https://openalex.org/W2040917575","https://openalex.org/W2048106301","https://openalex.org/W2051190590","https://openalex.org/W2066050744","https://openalex.org/W2070595403","https://openalex.org/W2080412456","https://openalex.org/W2091219652","https://openalex.org/W2093085284","https://openalex.org/W2102077575","https://openalex.org/W2108395784","https://openalex.org/W2108408993","https://openalex.org/W2144179259","https://openalex.org/W2158076586","https://openalex.org/W2379395823","https://openalex.org/W2793781500","https://openalex.org/W2901557673","https://openalex.org/W2905668904","https://openalex.org/W2963764099","https://openalex.org/W2964245351","https://openalex.org/W3003609646","https://openalex.org/W3097619031","https://openalex.org/W3126996113","https://openalex.org/W4211185072","https://openalex.org/W4230874796","https://openalex.org/W4239881437","https://openalex.org/W4246894044","https://openalex.org/W4249911606","https://openalex.org/W6638457782","https://openalex.org/W6770768425","https://openalex.org/W6967339396"],"related_works":["https://openalex.org/W3178704503","https://openalex.org/W13475150","https://openalex.org/W2138710286","https://openalex.org/W3187473531","https://openalex.org/W3103937443","https://openalex.org/W2090878603","https://openalex.org/W2767830354","https://openalex.org/W3046101303","https://openalex.org/W2263967233","https://openalex.org/W2963277410","https://openalex.org/W2081967592","https://openalex.org/W2030011401","https://openalex.org/W2963377308","https://openalex.org/W2140223009","https://openalex.org/W2955244707","https://openalex.org/W1974427385","https://openalex.org/W1992234386","https://openalex.org/W1988754305","https://openalex.org/W2015052621","https://openalex.org/W3184914074"],"abstract_inverted_index":{"Abstract":[0],"Paraorthomodular":[1],"posets":[2,37,53,94],"are":[3,54,104],"bounded":[4,69,93],"partially":[5],"ordered":[6],"sets":[7],"with":[8,71,95],"an":[9,57,96],"antitone":[10,72,97],"involution":[11,98],"induced":[12],"by":[13,60],"quantum":[14,22],"structures":[15],"arising":[16],"from":[17,40],"the":[18,27,46,75],"logico-algebraic":[19],"approach":[20],"to":[21],"mechanics.":[23],"The":[24],"aim":[25],"of":[26,56,62,68,84],"present":[28],"work":[29],"is":[30,102],"starting":[31],"a":[32,63],"systematic":[33],"inquiry":[34],"into":[35],"paraorthomodular":[36,52,103],"theory":[38],"both":[39],"algebraic":[41,58],"and":[42,89],"order-theoretic":[43],"perspectives.":[44],"On":[45,74],"one":[47],"hand,":[48],"we":[49,77],"show":[50],"that":[51],"amenable":[55],"treatment":[59],"means":[61],"smooth":[64],"representation":[65],"in":[66,82],"terms":[67,83],"directoids":[70],"involution.":[73],"other,":[76],"investigate":[78],"their":[79],"order-theoretical":[80],"features":[81],"forbidden":[85],"configurations.":[86],"Moreover,":[87],"sufficient":[88],"necessary":[90],"conditions":[91],"characterizing":[92],"whose":[99],"Dedekind\u2013MacNeille":[100],"completion":[101],"provided.":[105]},"counts_by_year":[],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
