{"id":"https://openalex.org/W4205965203","doi":"https://doi.org/10.1142/s0218196721400117","title":"Inverse monoids and immersions of \u0394-complexes","display_name":"Inverse monoids and immersions of \u0394-complexes","publication_year":2021,"publication_date":"2021-06-21","ids":{"openalex":"https://openalex.org/W4205965203","doi":"https://doi.org/10.1142/s0218196721400117"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196721400117","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721400117","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1709.03887","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111474948","display_name":"John Meakin","orcid":null},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John Meakin","raw_affiliation_strings":["Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA","institution_ids":["https://openalex.org/I114395901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034824480","display_name":"N\u00f3ra Szak\u00e1cs","orcid":"https://orcid.org/0000-0002-4098-1988"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]},{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU","PT"],"is_corresponding":false,"raw_author_name":"N\u00f3ra Szak\u00e1cs","raw_affiliation_strings":["Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1. H-6720 Szeged, Hungary","Center of Mathematics, University of Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute, University of Szeged, Aradi v\u00e9rtan\u00fak tere 1. H-6720 Szeged, Hungary","institution_ids":["https://openalex.org/I227486990"]},{"raw_affiliation_string":"Center of Mathematics, University of Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111474948"],"corresponding_institution_ids":["https://openalex.org/I114395901"],"apc_list":null,"apc_paid":null,"fwci":0.4548,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63390262,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"06","first_page":"1243","last_page":"1268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9983999729156494,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8637709617614746},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.8071881532669067},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6847339868545532},{"id":"https://openalex.org/keywords/immersion","display_name":"Immersion (mathematics)","score":0.5831525921821594},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.5736149549484253},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5213293433189392},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4501134157180786},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11330974102020264}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8637709617614746},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.8071881532669067},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6847339868545532},{"id":"https://openalex.org/C199068039","wikidata":"https://www.wikidata.org/wiki/Q574523","display_name":"Immersion (mathematics)","level":2,"score":0.5831525921821594},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.5736149549484253},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5213293433189392},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4501134157180786},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11330974102020264}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218196721400117","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721400117","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/53c8d3d8-ab35-4e43-a5d9-9db5c033b797","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/53c8d3d8-ab35-4e43-a5d9-9db5c033b797","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Meakin, J & Szakacs, N 2021, 'Inverse monoids and immersions of \u0394-complexes', International Journal of Algebra and Computation. https://doi.org/10.1142/S0218196721400117","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1709.03887","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.03887","pdf_url":"https://arxiv.org/pdf/1709.03887","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1709.03887","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.03887","pdf_url":"https://arxiv.org/pdf/1709.03887","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W945317750","https://openalex.org/W1594985246","https://openalex.org/W1988082809","https://openalex.org/W2025574283","https://openalex.org/W2070740841","https://openalex.org/W2101716083","https://openalex.org/W2153632678","https://openalex.org/W2313142064","https://openalex.org/W3105198111","https://openalex.org/W4210839962","https://openalex.org/W4251535942","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1746507502","https://openalex.org/W2036654519","https://openalex.org/W1966743441","https://openalex.org/W2325428140","https://openalex.org/W2952853222","https://openalex.org/W2736946816","https://openalex.org/W2959015588","https://openalex.org/W2018824283","https://openalex.org/W2129046713"],"abstract_inverted_index":{"An":[0],"immersion":[1],"[Formula:":[2,6,11,21,28,37,98,101],"see":[3,7,12,22,29,38,99,102],"text]":[4,23],"between":[5,34,88],"text]-complexes":[8,39],"is":[9],"a":[10],"text]-map":[13],"that":[14],"induces":[15],"injections":[16],"from":[17],"star":[18,25],"sets":[19,26],"of":[20,27,45,59,64,82,91],"to":[24,71],"text].":[30],"We":[31,54],"study":[32],"immersions":[33,74,87,96],"finite-dimensional":[35],"connected":[36,73],"by":[40,49],"replacing":[41],"the":[42,46,60,76],"fundamental":[43],"group":[44],"base":[47],"space":[48],"an":[50],"appropriate":[51],"inverse":[52,62,66],"monoid.":[53],"show":[55],"how":[56],"conjugacy":[57],"classes":[58],"closed":[61],"submonoids":[63],"this":[65],"monoid":[67],"may":[68],"be":[69],"used":[70],"classify":[72],"into":[75,97],"complex.":[77],"This":[78],"extends":[79],"earlier":[80],"results":[81],"Margolis":[83],"and":[84,90,93],"Meakin":[85,92],"for":[86],"graphs":[89],"Szak\u00e1cs":[94],"on":[95],"text]-dimensional":[100],"text]-complexes.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
