{"id":"https://openalex.org/W2139398339","doi":"https://doi.org/10.1016/0168-0072(95)00047-x","title":"Partial orderings with the weak Freese-Nation property","display_name":"Partial orderings with the weak Freese-Nation property","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W2139398339","doi":"https://doi.org/10.1016/0168-0072(95)00047-x","mag":"2139398339"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(95)00047-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(95)00047-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/016800729500047X/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/016800729500047X/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085678874","display_name":"Saka\u00e9 Fuchino","orcid":"https://orcid.org/0000-0002-8884-6005"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Saka\u00e9 Fuchino","raw_affiliation_strings":["Institut f\u00fcr Mathematik II, Freie Universit\u00e4t Berlin, Arnimallee 3, 14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik II, Freie Universit\u00e4t Berlin, Arnimallee 3, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057073031","display_name":"Sabine Koppelberg","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sabine Koppelberg","raw_affiliation_strings":["Institut f\u00fcr Mathematik II, Freie Universit\u00e4t Berlin, Arnimallee 3, 14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik II, Freie Universit\u00e4t Berlin, Arnimallee 3, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024923217","display_name":"Saharon Shelah","orcid":"https://orcid.org/0000-0003-0462-3152"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Saharon Shelah","raw_affiliation_strings":["Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA","Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel","Department of Mathematics, Rutgers University; New Brunswick, NJ 08854, USA","Institute of Mathematics The Hebrew University of Jerusalem 91904 Jerusalem Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Department of Mathematics, Rutgers University; New Brunswick, NJ 08854, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Institute of Mathematics The Hebrew University of Jerusalem 91904 Jerusalem Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085678874"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":{"value":3520,"currency":"USD","value_usd":3520},"apc_paid":null,"fwci":1.3957,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.81821534,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"80","issue":"1","first_page":"35","last_page":"54"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9889000058174133,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9814000129699707,"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/axiom","display_name":"Axiom","score":0.7836169004440308},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.7194480895996094},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7064843773841858},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6921538710594177},{"id":"https://openalex.org/keywords/complete-boolean-algebra","display_name":"Complete Boolean algebra","score":0.6709761619567871},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.6398206949234009},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5390156507492065},{"id":"https://openalex.org/keywords/free-boolean-algebra","display_name":"Free Boolean algebra","score":0.516147255897522},{"id":"https://openalex.org/keywords/boolean-algebras-canonically-defined","display_name":"Boolean algebras canonically defined","score":0.5144148468971252},{"id":"https://openalex.org/keywords/boolean-algebra","display_name":"Boolean algebra","score":0.47262880206108093},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4599648118019104},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.446785569190979},{"id":"https://openalex.org/keywords/two-element-boolean-algebra","display_name":"Two-element Boolean algebra","score":0.43974146246910095},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2910245358943939},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2670608162879944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1155356764793396},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.07129991054534912}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7836169004440308},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7194480895996094},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7064843773841858},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6921538710594177},{"id":"https://openalex.org/C81518389","wikidata":"https://www.wikidata.org/wiki/Q5156447","display_name":"Complete Boolean algebra","level":5,"score":0.6709761619567871},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.6398206949234009},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5390156507492065},{"id":"https://openalex.org/C188159880","wikidata":"https://www.wikidata.org/wiki/Q5499761","display_name":"Free Boolean algebra","level":5,"score":0.516147255897522},{"id":"https://openalex.org/C45503250","wikidata":"https://www.wikidata.org/wiki/Q4943350","display_name":"Boolean algebras canonically defined","level":5,"score":0.5144148468971252},{"id":"https://openalex.org/C39685927","wikidata":"https://www.wikidata.org/wiki/Q173183","display_name":"Boolean algebra","level":2,"score":0.47262880206108093},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4599648118019104},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.446785569190979},{"id":"https://openalex.org/C207764348","wikidata":"https://www.wikidata.org/wiki/Q7858706","display_name":"Two-element Boolean algebra","level":4,"score":0.43974146246910095},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2910245358943939},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2670608162879944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1155356764793396},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.07129991054534912},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0168-0072(95)00047-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(95)00047-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/016800729500047X/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0168-0072(95)00047-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0168-0072(95)00047-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/016800729500047X/pdf","source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6200000047683716,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321950","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2139398339.pdf","grobid_xml":"https://content.openalex.org/works/W2139398339.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W601141331","https://openalex.org/W873831478","https://openalex.org/W1496446432","https://openalex.org/W1990284484","https://openalex.org/W1990627365","https://openalex.org/W2015769372","https://openalex.org/W2023844735","https://openalex.org/W2049535439","https://openalex.org/W2075237210","https://openalex.org/W2097116899","https://openalex.org/W2130157916","https://openalex.org/W2319297044","https://openalex.org/W3145967443","https://openalex.org/W4240966114","https://openalex.org/W6618170295"],"related_works":["https://openalex.org/W2037090414","https://openalex.org/W2940617399","https://openalex.org/W2369221237","https://openalex.org/W2064028328","https://openalex.org/W4256012180","https://openalex.org/W2377493875","https://openalex.org/W176883546","https://openalex.org/W2740171735","https://openalex.org/W2349635818","https://openalex.org/W2377302330"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
