{"id":"https://openalex.org/W1966289666","doi":"https://doi.org/10.1016/s0020-0255(03)00159-2","title":"ILI-ideals and prime LI-ideals in lattice implication algebras","display_name":"ILI-ideals and prime LI-ideals in lattice implication algebras","publication_year":2003,"publication_date":"2003-06-30","ids":{"openalex":"https://openalex.org/W1966289666","doi":"https://doi.org/10.1016/s0020-0255(03)00159-2","mag":"1966289666"},"language":"en","primary_location":{"id":"doi:10.1016/s0020-0255(03)00159-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0020-0255(03)00159-2","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"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":"Information Sciences","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/A5102957434","display_name":"Yong Lin Liu","orcid":"https://orcid.org/0000-0002-1828-2881"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Lin Liu","raw_affiliation_strings":["Department of Applied Mathematics, Xidian University, Xi\u2019an 710071, Shaanxi, PR China","Department of Mathematics, Nanping Teachers College, Nanping 353000, Fujian, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Xidian University, Xi\u2019an 710071, Shaanxi, PR China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Department of Mathematics, Nanping Teachers College, Nanping 353000, Fujian, PR China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109366226","display_name":"San Yang Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"San Yang Liu","raw_affiliation_strings":["Department of Applied Mathematics, Xidian University, Xi\u2019an 710071, Shaanxi, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Xidian University, Xi\u2019an 710071, Shaanxi, PR China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100462079","display_name":"Yang Xu","orcid":"https://orcid.org/0000-0002-0932-8112"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Xu","raw_affiliation_strings":["Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan, PR China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109921039","display_name":"Ke Yun Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Yun Qin","raw_affiliation_strings":["Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan, PR China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102957434"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":3330,"currency":"USD","value_usd":3330},"apc_paid":null,"fwci":1.08,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.75791978,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"155","issue":"1-2","first_page":"157","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9940000176429749,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/boolean-prime-ideal-theorem","display_name":"Boolean prime ideal theorem","score":0.8791760206222534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7811590433120728},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6653168797492981},{"id":"https://openalex.org/keywords/associated-prime","display_name":"Associated prime","score":0.5921298265457153},{"id":"https://openalex.org/keywords/fractional-ideal","display_name":"Fractional ideal","score":0.5647099614143372},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5060753226280212},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.45974355936050415},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43730130791664124},{"id":"https://openalex.org/keywords/prime-element","display_name":"Prime element","score":0.4365397095680237},{"id":"https://openalex.org/keywords/maximal-ideal","display_name":"Maximal ideal","score":0.4319475591182709},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2853706479072571},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.045638322830200195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.039225608110427856}],"concepts":[{"id":"https://openalex.org/C175958551","wikidata":"https://www.wikidata.org/wiki/Q872088","display_name":"Boolean prime ideal theorem","level":3,"score":0.8791760206222534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7811590433120728},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6653168797492981},{"id":"https://openalex.org/C107836120","wikidata":"https://www.wikidata.org/wiki/Q4809264","display_name":"Associated prime","level":3,"score":0.5921298265457153},{"id":"https://openalex.org/C182817911","wikidata":"https://www.wikidata.org/wiki/Q1497184","display_name":"Fractional ideal","level":3,"score":0.5647099614143372},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5060753226280212},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.45974355936050415},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43730130791664124},{"id":"https://openalex.org/C116335209","wikidata":"https://www.wikidata.org/wiki/Q240651","display_name":"Prime element","level":3,"score":0.4365397095680237},{"id":"https://openalex.org/C118211362","wikidata":"https://www.wikidata.org/wiki/Q1203540","display_name":"Maximal ideal","level":3,"score":0.4319475591182709},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2853706479072571},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.045638322830200195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.039225608110427856},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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:10.1016/s0020-0255(03)00159-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0020-0255(03)00159-2","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"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":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W85066358","https://openalex.org/W243449654","https://openalex.org/W359462364","https://openalex.org/W772634503","https://openalex.org/W1589287016","https://openalex.org/W1642381004","https://openalex.org/W1981472242","https://openalex.org/W2017999234","https://openalex.org/W2023648368","https://openalex.org/W2031758711","https://openalex.org/W2223298233","https://openalex.org/W3148399506","https://openalex.org/W4206828130","https://openalex.org/W4293176479","https://openalex.org/W6609400720","https://openalex.org/W6622377836","https://openalex.org/W6635204691","https://openalex.org/W6636853740","https://openalex.org/W6689102392"],"related_works":["https://openalex.org/W1972245590","https://openalex.org/W2581160499","https://openalex.org/W2396054543","https://openalex.org/W283419704","https://openalex.org/W2026219028","https://openalex.org/W3217209015","https://openalex.org/W307015568","https://openalex.org/W3138624888","https://openalex.org/W3099670774","https://openalex.org/W3194878553"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}