{"id":"https://openalex.org/W7161048398","doi":"https://doi.org/10.1093/jigpal/jzag026","title":"A state operator on the uE-algebra","display_name":"A state operator on the uE-algebra","publication_year":2026,"publication_date":"2026-04-17","ids":{"openalex":"https://openalex.org/W7161048398","doi":"https://doi.org/10.1093/jigpal/jzag026"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzag026","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzag026","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","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/A5124809159","display_name":"Ya Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya Wei","raw_affiliation_strings":["School of Mathematics and Statistics , Shaanxi Normal University, Xi\u2019an, 710119, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Shaanxi Normal University, Xi\u2019an, 710119, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5136024190","display_name":"Bin Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Zhao","raw_affiliation_strings":["School of Mathematics and Statistics , Shaanxi Normal University, Xi\u2019an, 710119, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Shaanxi Normal University, Xi\u2019an, 710119, China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5136024190"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.6137931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.930899977684021,"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":0.930899977684021,"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":0.022199999541044235,"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":0.02199999988079071,"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/variety","display_name":"Variety (cybernetics)","score":0.8077999949455261},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.7434999942779541},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.608299970626831},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5695000290870667},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5666000247001648},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5450999736785889}],"concepts":[{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.8077999949455261},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.7434999942779541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7379999756813049},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.608299970626831},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5695000290870667},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5666000247001648},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5450999736785889},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49470001459121704},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44670000672340393},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4075999855995178},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3310999870300293},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C165761256","wikidata":"https://www.wikidata.org/wiki/Q648995","display_name":"Algebraic variety","level":3,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzag026","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzag026","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4942904691","display_name":null,"funder_award_id":"12331016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1435444341","https://openalex.org/W1974987615","https://openalex.org/W2003138773","https://openalex.org/W2005369043","https://openalex.org/W2007473754","https://openalex.org/W2033476414","https://openalex.org/W2047723833","https://openalex.org/W2052933125","https://openalex.org/W2090670604","https://openalex.org/W2092805314","https://openalex.org/W2097299615","https://openalex.org/W2112440330","https://openalex.org/W2133457869","https://openalex.org/W2557449176","https://openalex.org/W2911370693","https://openalex.org/W2912142129","https://openalex.org/W2962873294","https://openalex.org/W4212881348","https://openalex.org/W4280652598","https://openalex.org/W4309961432","https://openalex.org/W4387742223","https://openalex.org/W4393282154"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1,57],"this":[2],"paper,":[3],"we":[4,28,59,112],"introduce":[5],"the":[6,23,61,100,107],"variety":[7,101],"of":[8,32,52,69,77,102,109],"equality":[9],"algebras":[10],"endowed":[11],"with":[12,37,85],"universal":[13],"quantifiers":[14],"(called":[15],"uE-algebras),":[16,48],"and":[17,49,67,89],"establish":[18],"an":[19,30,38],"equivalent":[20],"category":[21],"for":[22,79,87,116],"corresponding":[24],"category.":[25],"Most":[26],"significantly,":[27],"present":[29],"expansion":[31],"uE-algebras":[33],"by":[34],"enriching":[35],"them":[36],"internal":[39],"state":[40,47,64,70,82,103],"operator":[41],"(which":[42],"are":[43],"referred":[44],"to":[45],"as":[46],"investigate":[50],"some":[51],"their":[53],"fundamental":[54],"algebraic":[55],"properties.":[56],"particular,":[58],"discuss":[60],"correspondence":[62],"between":[63],"m-deductive":[65],"systems":[66],"m-congruences":[68],"uE-algebras.":[71,104,120],"We":[72],"also":[73],"provide":[74],"a":[75,95,114],"set":[76],"characterizations":[78,86],"subdirectly":[80],"irreducible":[81],"uE-algebras,":[83,92],"together":[84],"local":[88],"simple":[90],"state-morphism":[91,117],"which":[93],"play":[94],"crucial":[96],"role":[97],"in":[98],"studying":[99],"Finally,":[105],"using":[106],"notion":[108],"adjoint":[110],"m-pairs,":[111],"obtain":[113],"representation":[115],"operators":[118],"on":[119]},"counts_by_year":[],"updated_date":"2026-06-18T08:10:14.011955","created_date":"2026-05-14T00:00:00"}
