{"id":"https://openalex.org/W2735045136","doi":"https://doi.org/10.3233/jifs-162168","title":"Conditions that a strongly atomic algebraic lattice is semimodular","display_name":"Conditions that a strongly atomic algebraic lattice is semimodular","publication_year":2017,"publication_date":"2017-07-11","ids":{"openalex":"https://openalex.org/W2735045136","doi":"https://doi.org/10.3233/jifs-162168","mag":"2735045136"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-162168","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-162168","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5101533342","display_name":"Peng He","orcid":"https://orcid.org/0000-0002-0788-9872"},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng He","raw_affiliation_strings":["College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People\u2019s Republic of China","College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I63354593"]},{"raw_affiliation_string":"College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People's Republic of China","institution_ids":["https://openalex.org/I63354593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100683379","display_name":"Xue-ping Wang","orcid":"https://orcid.org/0000-0003-4376-9859"},"institutions":[{"id":"https://openalex.org/I63354593","display_name":"Sichuan Normal University","ror":"https://ror.org/043dxc061","country_code":"CN","type":"education","lineage":["https://openalex.org/I63354593"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xue-ping Wang","raw_affiliation_strings":["College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People\u2019s Republic of China","College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I63354593"]},{"raw_affiliation_string":"College of Mathematics and Software Science, Sichuan Normal University, Chengdu, Sichuan, People's Republic of China","institution_ids":["https://openalex.org/I63354593"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100683379"],"corresponding_institution_ids":["https://openalex.org/I63354593"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12042797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"2","first_page":"913","last_page":"920"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9968000054359436,"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":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5633113384246826},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5392277836799622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38555359840393066},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3592572510242462},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3106398582458496},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2392340898513794},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07306969165802002}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5633113384246826},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5392277836799622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38555359840393066},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3592572510242462},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3106398582458496},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2392340898513794},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07306969165802002},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-162168","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-162168","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W206333455","https://openalex.org/W568690401","https://openalex.org/W1509335165","https://openalex.org/W1970150502","https://openalex.org/W1973269833","https://openalex.org/W1976424510","https://openalex.org/W1987854263","https://openalex.org/W2019015475","https://openalex.org/W2036788635","https://openalex.org/W2056114470","https://openalex.org/W2080071733","https://openalex.org/W2174365401","https://openalex.org/W4234386698","https://openalex.org/W4237376784","https://openalex.org/W6959132104"],"related_works":["https://openalex.org/W3176049953","https://openalex.org/W2019790099","https://openalex.org/W1982697323","https://openalex.org/W2798660361","https://openalex.org/W2171705650","https://openalex.org/W1976988360","https://openalex.org/W2102067092","https://openalex.org/W2951667781","https://openalex.org/W2161609720","https://openalex.org/W73750490"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"strongly":[4,15],"atomic":[5,16],"algebraic":[6,17],"lattices.":[7],"Two":[8],"necessary":[9],"and":[10],"sufficient":[11],"conditions":[12],"that":[13],"a":[14,29],"lattice":[18],"is":[19],"semimodular":[20],"are":[21],"shown":[22],"by":[23],"using":[24],"the":[25,33],"locally":[26],"sublattice,":[27,31],"called":[28],"WAGC":[30],"of":[32],"lattice.":[34]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
