{"id":"https://openalex.org/W2904359963","doi":"https://doi.org/10.1007/s00500-018-03691-9","title":"The property of commutativity for some generalizations of BCK algebras","display_name":"The property of commutativity for some generalizations of BCK algebras","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2904359963","doi":"https://doi.org/10.1007/s00500-018-03691-9","mag":"2904359963"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-018-03691-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-018-03691-9","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5071567433","display_name":"Andrzej Walendziak","orcid":"https://orcid.org/0000-0002-9866-0781"},"institutions":[{"id":"https://openalex.org/I231086526","display_name":"University of Siedlce","ror":"https://ror.org/01wkb9987","country_code":"PL","type":"education","lineage":["https://openalex.org/I231086526"]},{"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"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Walendziak","raw_affiliation_strings":["Institute of Mathematics and Physics, Faculty of Sciences, Siedlce University of Natural Sciences and Humanities, 3 Maja 54, 08110, Siedlce, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Physics, Faculty of Sciences, Siedlce University of Natural Sciences and Humanities, 3 Maja 54, 08110, Siedlce, Poland","institution_ids":["https://openalex.org/I231086526","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071567433"],"corresponding_institution_ids":["https://openalex.org/I231086526","https://openalex.org/I4210137370"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0686,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.8058009,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"23","issue":"17","first_page":"7505","last_page":"7511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9993000030517578,"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":0.9993000030517578,"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":0.998199999332428,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.8875737190246582},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7125934362411499},{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.6968398094177246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6551641225814819},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6220008730888367},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3992321491241455},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1353212296962738},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.045756995677948}],"concepts":[{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.8875737190246582},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7125934362411499},{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.6968398094177246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6551641225814819},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6220008730888367},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3992321491241455},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1353212296962738},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.045756995677948},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":1,"locations":[{"id":"doi:10.1007/s00500-018-03691-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-018-03691-9","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W224488261","https://openalex.org/W236613216","https://openalex.org/W263046251","https://openalex.org/W610284265","https://openalex.org/W1985606837","https://openalex.org/W1994173930","https://openalex.org/W2011765234","https://openalex.org/W2044761500","https://openalex.org/W2078688875","https://openalex.org/W2156157705","https://openalex.org/W2162091797","https://openalex.org/W2340043976","https://openalex.org/W2575456828","https://openalex.org/W2805288538"],"related_works":["https://openalex.org/W2912502034","https://openalex.org/W3028734320","https://openalex.org/W2035908476","https://openalex.org/W2506979107","https://openalex.org/W4239727543","https://openalex.org/W2284101512","https://openalex.org/W2612882049","https://openalex.org/W2951146762","https://openalex.org/W2378570201","https://openalex.org/W2009326938"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
