{"id":"https://openalex.org/W2074361790","doi":"https://doi.org/10.1007/pl00009889","title":"D-homomorphisms and atomic \u03c3-complete boolean D-posets","display_name":"D-homomorphisms and atomic \u03c3-complete boolean D-posets","publication_year":2000,"publication_date":"2000-04-01","ids":{"openalex":"https://openalex.org/W2074361790","doi":"https://doi.org/10.1007/pl00009889","mag":"2074361790"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009889","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009889","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029384234","display_name":"A. Dvure\u010denskij","orcid":null},"institutions":[{"id":"https://openalex.org/I207624831","display_name":"Slovak Academy of Sciences","ror":"https://ror.org/03h7qq074","country_code":"SK","type":"government","lineage":["https://openalex.org/I207624831"]},{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"A. Dvure\u010denskij","raw_affiliation_strings":["Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73 Bratislava, The Slovak Republic","Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73 Bratislava, The Slovak Republic E-mail: dvurecen@mat.savba.sk, SK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73 Bratislava, The Slovak Republic","institution_ids":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]},{"raw_affiliation_string":"Mathematical Institute, Slovak Academy of Sciences, \u0160tef\u00e1nikova 49, SK-814 73 Bratislava, The Slovak Republic E-mail: dvurecen@mat.savba.sk, SK","institution_ids":["https://openalex.org/I207624831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000352527","display_name":"F. Chovanec","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098045","display_name":"Slovak Caves Administration","ror":"https://ror.org/00x74f485","country_code":"SK","type":"other","lineage":["https://openalex.org/I4210098045"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"F. Chovanec","raw_affiliation_strings":["Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic","Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic E-mails: chovanec@valm.sk, rybarike@valm.sk, , SK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic","institution_ids":["https://openalex.org/I4210098045"]},{"raw_affiliation_string":"Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic E-mails: chovanec@valm.sk, rybarike@valm.sk, , SK","institution_ids":["https://openalex.org/I4210098045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066855159","display_name":"E. Ryb\u00e1rikov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I4210098045","display_name":"Slovak Caves Administration","ror":"https://ror.org/00x74f485","country_code":"SK","type":"other","lineage":["https://openalex.org/I4210098045"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"E. Ryb\u00e1rikov\u00e1","raw_affiliation_strings":["Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic","Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic E-mails: chovanec@valm.sk, rybarike@valm.sk, , SK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic","institution_ids":["https://openalex.org/I4210098045"]},{"raw_affiliation_string":"Department of Mathematics, Military Academy, SK-031 19 Liptovsk\u00fd Mikul\u00e1\u0161, The Slovak Republic E-mails: chovanec@valm.sk, rybarike@valm.sk, , SK","institution_ids":["https://openalex.org/I4210098045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9395,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76997418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"4","issue":"1","first_page":"9","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.995199978351593,"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":0.9904999732971191,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.8622772693634033},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.7352927923202515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7133471965789795},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.6884720921516418},{"id":"https://openalex.org/keywords/stones-representation-theorem-for-boolean-algebras","display_name":"Stone's representation theorem for Boolean algebras","score":0.6171988248825073},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.616676390171051},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.6079971194267273},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.6054912805557251},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5701221227645874},{"id":"https://openalex.org/keywords/complete-boolean-algebra","display_name":"Complete Boolean algebra","score":0.5700317025184631},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.5462779402732849},{"id":"https://openalex.org/keywords/free-boolean-algebra","display_name":"Free Boolean algebra","score":0.5059847235679626},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.20296797156333923},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16813984513282776},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.07797792553901672}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8622772693634033},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7352927923202515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7133471965789795},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.6884720921516418},{"id":"https://openalex.org/C10021369","wikidata":"https://www.wikidata.org/wiki/Q1166774","display_name":"Stone's representation theorem for Boolean algebras","level":5,"score":0.6171988248825073},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.616676390171051},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.6079971194267273},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.6054912805557251},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5701221227645874},{"id":"https://openalex.org/C81518389","wikidata":"https://www.wikidata.org/wiki/Q5156447","display_name":"Complete Boolean algebra","level":5,"score":0.5700317025184631},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.5462779402732849},{"id":"https://openalex.org/C188159880","wikidata":"https://www.wikidata.org/wiki/Q5499761","display_name":"Free Boolean algebra","level":5,"score":0.5059847235679626},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.20296797156333923},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16813984513282776},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.07797792553901672}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009889","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009889","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W635510250","https://openalex.org/W1765802909","https://openalex.org/W1985104705","https://openalex.org/W1991468194","https://openalex.org/W2012072427","https://openalex.org/W2030481299","https://openalex.org/W2040917575","https://openalex.org/W2080412456","https://openalex.org/W2307351754","https://openalex.org/W2733293804","https://openalex.org/W2783531295"],"related_works":["https://openalex.org/W1496446432","https://openalex.org/W2106941449","https://openalex.org/W2051531869","https://openalex.org/W2128535825","https://openalex.org/W2096622861","https://openalex.org/W2074361790","https://openalex.org/W4244612409","https://openalex.org/W1882218684","https://openalex.org/W2962730971","https://openalex.org/W4301089018"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
