{"id":"https://openalex.org/W4283591922","doi":"https://doi.org/10.1155/2022/6213448","title":"On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices","display_name":"On State Ideals and State Relative Annihilators in De Morgan State Residuated Lattices","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4283591922","doi":"https://doi.org/10.1155/2022/6213448"},"language":"en","primary_location":{"id":"doi:10.1155/2022/6213448","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2022/6213448","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/6213448.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2022/6213448.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019272719","display_name":"Francis Woumfo","orcid":"https://orcid.org/0000-0002-0479-4309"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":true,"raw_author_name":"Francis Woumfo","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0002-0479-4309","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083057859","display_name":"Blaise B. Koguep Njionou","orcid":"https://orcid.org/0000-0001-9035-6753"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Blaise Bleriot Koguep Njionou","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0001-9035-6753","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061075055","display_name":"Etienne Romuald Temgoua Alomo","orcid":"https://orcid.org/0000-0001-6338-090X"},"institutions":[{"id":"https://openalex.org/I1331070479","display_name":"Universit\u00e9 de Yaound\u00e9 I","ror":"https://ror.org/022zbs961","country_code":"CM","type":"education","lineage":["https://openalex.org/I1331070479"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Etienne Romuald Temgoua Alomo","raw_affiliation_strings":["Department of Mathematics, \u00c9cole Normale Sup\u00e9rieure de Yaound\u00e9, University of Yaound\u00e9 1, P.O. Box 47, Yaound\u00e9, Cameroon"],"raw_orcid":"https://orcid.org/0000-0001-6338-090X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, \u00c9cole Normale Sup\u00e9rieure de Yaound\u00e9, University of Yaound\u00e9 1, P.O. Box 47, Yaound\u00e9, Cameroon","institution_ids":["https://openalex.org/I1331070479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076838165","display_name":"C\u00e9lestin L\u00e9l\u00e9","orcid":"https://orcid.org/0000-0002-0784-1377"},"institutions":[{"id":"https://openalex.org/I178331978","display_name":"Universit\u00e9 de Dschang","ror":"https://ror.org/0566t4z20","country_code":"CM","type":"education","lineage":["https://openalex.org/I178331978"]}],"countries":["CM"],"is_corresponding":false,"raw_author_name":"Celestin Lele","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon"],"raw_orcid":"https://orcid.org/0000-0002-0784-1377","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon","institution_ids":["https://openalex.org/I178331978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5019272719"],"corresponding_institution_ids":["https://openalex.org/I178331978"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09620651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2022","issue":null,"first_page":"1","last_page":"14"},"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":0.9951000213623047,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9887999892234802,"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/mathematics","display_name":"Mathematics","score":0.7489403486251831},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.6360198259353638},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5704439878463745},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5257609486579895},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4329109787940979},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41296613216400146},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3316970467567444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15030959248542786}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7489403486251831},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.6360198259353638},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5704439878463745},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5257609486579895},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4329109787940979},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41296613216400146},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3316970467567444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15030959248542786},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2022/6213448","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2022/6213448","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/6213448.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:6213448","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/ijmms/2022/6213448.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:e46cf4634edc4684a6aa61e1aff9aac5","is_oa":true,"landing_page_url":"https://doaj.org/article/e46cf4634edc4684a6aa61e1aff9aac5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2022 (2022)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2022/6213448","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2022/6213448","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2022/6213448","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2022/6213448","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2022/6213448.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283591922.pdf","grobid_xml":"https://content.openalex.org/works/W4283591922.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W141096425","https://openalex.org/W649463137","https://openalex.org/W1525647423","https://openalex.org/W1971217457","https://openalex.org/W1972162146","https://openalex.org/W1972460988","https://openalex.org/W2003237057","https://openalex.org/W2003822008","https://openalex.org/W2015543983","https://openalex.org/W2016598711","https://openalex.org/W2024602922","https://openalex.org/W2026242842","https://openalex.org/W2036198799","https://openalex.org/W2097299615","https://openalex.org/W2419211430","https://openalex.org/W2487483580","https://openalex.org/W2492872208","https://openalex.org/W2507849584","https://openalex.org/W2799723039","https://openalex.org/W2883479191","https://openalex.org/W3019171134","https://openalex.org/W3107713910","https://openalex.org/W3115737524","https://openalex.org/W3143594797","https://openalex.org/W4213427446","https://openalex.org/W4293239006","https://openalex.org/W4387696272","https://openalex.org/W6605735553"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3111851529","https://openalex.org/W4210820417","https://openalex.org/W1796994019","https://openalex.org/W3121296545","https://openalex.org/W2034563384","https://openalex.org/W4394654181","https://openalex.org/W2158249660","https://openalex.org/W1661873676","https://openalex.org/W1574336678"],"abstract_inverted_index":{"The":[0],"concept":[1,135],"of":[2,23,27,40,43,59,79,136,140,167,175],"state":[3,44,49,61,137,149,160,168,177,185],"has":[4],"been":[5],"considered":[6],"in":[7,46,133,151,179],"commutative":[8],"and":[9,13,153,181],"noncommutative":[10],"logical":[11],"systems,":[12],"their":[14],"properties":[15],"are":[16,163],"at":[17],"the":[18,21,38,41,57,103,107,134,173,183],"center":[19],"for":[20,30,105],"development":[22],"an":[24],"algebraic":[25],"investigation":[26],"probabilistic":[28],"models":[29],"those":[31],"algebras.":[32],"This":[33],"article":[34],"mainly":[35],"focuses":[36],"on":[37],"study":[39],"lattice":[42,58,108],"ideals":[45,62],"De":[47],"Morgan":[48],"residuated":[50],"lattices":[51],"(DMSRLs).":[52],"First,":[53],"we":[54,101,131,171],"prove":[55,158],"that":[56,159],"all":[60],"<math":[63,82,109],"xmlns=\"http://www.w3.org/1998/Math/MathML\"":[64,83,110],"id=\"M1\">":[65],"<mi":[66,68,112,114],"mathvariant=\"script\">S</mi>":[67,113],"mathvariant=\"normal\">\u2110</mi>":[69,115],"<mfenced":[70,85,116],"open=\"(\"":[71,86,117],"close=\")\"":[72,87,118],"separators=\"|\">":[73,88,119],"<mrow>":[74,89,120],"<mi>L</mi>":[75,90,121],"</mrow>":[76,93,122],"</mfenced>":[77,94,123],"</math>":[78,95,124],"a":[80,97,126,141,148,164],"DMSRL":[81,104,152,180],"id=\"M2\">":[84],"<mo>,</mo>":[91],"<mi>\u03c4</mi>":[92],"is":[96,125],"coherent":[98],"frame.":[99],"Then,":[100],"characterize":[102],"which":[106],"id=\"M3\">":[111],"Boolean":[127],"algebra.":[128],"In":[129],"addition,":[130],"bring":[132],"relative":[138,161],"annihilator":[139],"given":[142],"nonempty":[143],"subset":[144],"with":[145],"respect":[146],"to":[147],"ideal":[150,178,186],"investigate":[154,172],"various":[155],"properties.":[156],"We":[157],"annihilators":[162],"particular":[165],"kind":[166],"ideals.":[169],"Finally,":[170],"notion":[174],"prime":[176,184],"establish":[182],"theorem.":[187]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
