{"id":"https://openalex.org/W4362464876","doi":"https://doi.org/10.1142/s1793005724500133","title":"Fuzzy Nilpotent Ideals in BCK-Algebras","display_name":"Fuzzy Nilpotent Ideals in BCK-Algebras","publication_year":2023,"publication_date":"2023-03-31","ids":{"openalex":"https://openalex.org/W4362464876","doi":"https://doi.org/10.1142/s1793005724500133"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005724500133","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s1793005724500133","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural 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/A5059751847","display_name":"E. Mohammadzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"E. Mohammadzadeh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Payame Noor University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Payame Noor University, Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035644463","display_name":"G. Muhiuddin","orcid":"https://orcid.org/0000-0002-5596-5841"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"G. Muhiuddin","raw_affiliation_strings":["Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082203176","display_name":"R. A. Borzooei","orcid":null},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"R. A. Borzooei","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035644463"],"corresponding_institution_ids":["https://openalex.org/I72264486"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03907347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"01","first_page":"233","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9990000128746033,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.984000027179718,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9804999828338623,"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/mathematics","display_name":"Mathematics","score":0.8700566291809082},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.8150322437286377},{"id":"https://openalex.org/keywords/nilpotent-group","display_name":"Nilpotent group","score":0.6051924228668213},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6041498780250549},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5881718397140503},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5559379458427429},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5386583209037781},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.494773805141449},{"id":"https://openalex.org/keywords/central-series","display_name":"Central series","score":0.43171194195747375},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3697676956653595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08296146988868713},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.053050339221954346}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8700566291809082},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.8150322437286377},{"id":"https://openalex.org/C206219070","wikidata":"https://www.wikidata.org/wiki/Q1755242","display_name":"Nilpotent group","level":3,"score":0.6051924228668213},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6041498780250549},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5881718397140503},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5559379458427429},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5386583209037781},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.494773805141449},{"id":"https://openalex.org/C188440111","wikidata":"https://www.wikidata.org/wiki/Q5062152","display_name":"Central series","level":4,"score":0.43171194195747375},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3697676956653595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08296146988868713},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.053050339221954346},{"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":2,"locations":[{"id":"doi:10.1142/s1793005724500133","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s1793005724500133","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:20:y:2024:i:01:n:s1793005724500133","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005724500133","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"}],"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/W2069213408","https://openalex.org/W2077106549","https://openalex.org/W2338428310","https://openalex.org/W2732149325","https://openalex.org/W2792396669","https://openalex.org/W2902468645","https://openalex.org/W2921188383","https://openalex.org/W3039245230","https://openalex.org/W3042641151","https://openalex.org/W3143448479","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4245085453","https://openalex.org/W4256324466"],"related_works":["https://openalex.org/W2114023206","https://openalex.org/W2069431043","https://openalex.org/W2040153249","https://openalex.org/W1980954226","https://openalex.org/W1607357212","https://openalex.org/W4301972844","https://openalex.org/W2953543912","https://openalex.org/W2963092658","https://openalex.org/W2623684030","https://openalex.org/W4241287370"],"abstract_inverted_index":{"One":[0],"of":[1,9,14,28,37,52,99,112,117],"the":[2,7,12,26,35,50,110],"most":[3],"critical":[4],"concepts":[5],"in":[6,19,25,56,109],"study":[8],"groups":[10,17],"is":[11,107],"notion":[13,36],"nilpotency.":[15],"Nilpotent":[16],"arise":[18],"Galois":[20],"theory,":[21],"as":[22,24],"well":[23],"classification":[27],"groups.":[29],"In":[30],"this":[31],"paper,":[32],"we":[33,48,65,79,93],"apply":[34],"nilpotency":[38],"on":[39],"[Formula:":[40,57,75,83,101,104,118],"see":[41,58,76,84,102,105,119],"text]-algebras":[42,59],"by":[43,86],"using":[44,87],"fuzzy":[45,54,70,89,114],"ideals.":[46],"First":[47],"define":[49],"concept":[51],"nilpotent":[53,71,82,90,115],"ideal":[55],"and":[60,73],"investigate":[61],"their":[62],"properties.":[63],"Furthermore,":[64],"find":[66],"some":[67],"relation":[68],"between":[69],"ideals":[72,98,116],"quotient":[74],"text]-algebras.":[77],"Specially,":[78],"construct":[80],"a":[81,88,100],"text]-algebra":[85,103],"ideal.":[91],"Finally,":[92],"prove":[94],"that":[95],"any":[96,113],"minimal":[97],"text],":[106],"contained":[108],"center":[111],"text].":[120]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}