{"id":"https://openalex.org/W3179134436","doi":"https://doi.org/10.1093/logcom/exab021","title":"Ideal related algebras and their logics","display_name":"Ideal related algebras and their logics","publication_year":2021,"publication_date":"2021-04-12","ids":{"openalex":"https://openalex.org/W3179134436","doi":"https://doi.org/10.1093/logcom/exab021","mag":"3179134436"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exab021","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exab021","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","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/A5062553445","display_name":"Ivo D\u00fcntsch","orcid":"https://orcid.org/0000-0001-8907-2382"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]},{"id":"https://openalex.org/I186803428","display_name":"Brock University","ror":"https://ror.org/056am2717","country_code":"CA","type":"education","lineage":["https://openalex.org/I186803428"]}],"countries":["CA","CN"],"is_corresponding":true,"raw_author_name":"Ivo D\u00dcntsch","raw_affiliation_strings":["College of Mathematics and Informatics, Fujian Normal University, 350007, Fuzhou, China and Department of Computer Science, Brock University, St Catharines, L2S3A1, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Informatics, Fujian Normal University, 350007, Fuzhou, China and Department of Computer Science, Brock University, St Catharines, L2S3A1, Ontario, Canada","institution_ids":["https://openalex.org/I111753288","https://openalex.org/I186803428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041591752","display_name":"Wojciech Dzik","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wojciech Dzik","raw_affiliation_strings":["Institute of Mathematics, University of Silesia, 40-007, Katowice, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Silesia, 40-007, Katowice, Poland","institution_ids":["https://openalex.org/I864159182","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062553445"],"corresponding_institution_ids":["https://openalex.org/I111753288","https://openalex.org/I186803428"],"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":0.12601427,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"8","first_page":"2159","last_page":"2188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9973999857902527,"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/unary-operation","display_name":"Unary operation","score":0.9302100539207458},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.880646824836731},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6454986333847046},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5520036816596985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5403841137886047},{"id":"https://openalex.org/keywords/modal-operator","display_name":"Modal operator","score":0.5233209133148193},{"id":"https://openalex.org/keywords/discriminator","display_name":"Discriminator","score":0.4261401295661926},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4186437726020813},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.4149321913719177},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.33533596992492676},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31603503227233887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3092274069786072},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.1262156069278717},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07521769404411316}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.9302100539207458},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.880646824836731},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6454986333847046},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5520036816596985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5403841137886047},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.5233209133148193},{"id":"https://openalex.org/C2779803651","wikidata":"https://www.wikidata.org/wiki/Q5282088","display_name":"Discriminator","level":3,"score":0.4261401295661926},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4186437726020813},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.4149321913719177},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.33533596992492676},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31603503227233887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3092274069786072},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.1262156069278717},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07521769404411316},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exab021","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exab021","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"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":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G8427855195","display_name":null,"funder_award_id":"61976053","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1499268515","https://openalex.org/W1527588453","https://openalex.org/W1573177660","https://openalex.org/W1579494268","https://openalex.org/W1968888224","https://openalex.org/W1969340980","https://openalex.org/W1970138271","https://openalex.org/W1974162998","https://openalex.org/W1983453585","https://openalex.org/W1986094041","https://openalex.org/W1991748341","https://openalex.org/W1992101154","https://openalex.org/W1993882882","https://openalex.org/W2003017965","https://openalex.org/W2004247000","https://openalex.org/W2017542140","https://openalex.org/W2024350733","https://openalex.org/W2026999237","https://openalex.org/W2059938612","https://openalex.org/W2062677486","https://openalex.org/W2068215732","https://openalex.org/W2074609293","https://openalex.org/W2077311448","https://openalex.org/W2077847391","https://openalex.org/W2087899507","https://openalex.org/W2099602798","https://openalex.org/W2118313805","https://openalex.org/W2138398824","https://openalex.org/W2154755287","https://openalex.org/W2159279212","https://openalex.org/W2164389533","https://openalex.org/W2171818600","https://openalex.org/W2315064349","https://openalex.org/W2496544547","https://openalex.org/W2531105734","https://openalex.org/W2805838958","https://openalex.org/W2809201413","https://openalex.org/W2950450725","https://openalex.org/W3012964202","https://openalex.org/W3103855201","https://openalex.org/W4211036707","https://openalex.org/W4211144022","https://openalex.org/W4246761341","https://openalex.org/W4247797067","https://openalex.org/W4293176479","https://openalex.org/W4299413730","https://openalex.org/W4386942690","https://openalex.org/W4400535622","https://openalex.org/W6632126412","https://openalex.org/W6656556223"],"related_works":["https://openalex.org/W1521977880","https://openalex.org/W2534562289","https://openalex.org/W4318188140","https://openalex.org/W4233254255","https://openalex.org/W2167981859","https://openalex.org/W1980172029","https://openalex.org/W3189472968","https://openalex.org/W75246058","https://openalex.org/W2795425183","https://openalex.org/W2566122784"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"modal":[3],"algebras":[4],"that":[5,23],"generalize":[6],"the":[7,18],"unary":[8],"discriminator":[9],"into":[10],"two":[11],"directions":[12],"related":[13],"to":[14,27],"an":[15],"ideal":[16],"of":[17],"algebra.":[19],"It":[20],"turns":[21],"out":[22],"some":[24],"classes":[25],"lead":[26],"well-known":[28],"logics,":[29],"while":[30],"others":[31],"have":[32],"not":[33],"yet":[34],"been":[35],"explored.":[36]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}