{"id":"https://openalex.org/W4403433287","doi":"https://doi.org/10.1155/2024/5591710","title":"Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical","display_name":"Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403433287","doi":"https://doi.org/10.1155/2024/5591710"},"language":"en","primary_location":{"id":"doi:10.1155/2024/5591710","doi":"https://doi.org/10.1155/2024/5591710","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2024/5591710","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/5591710","source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/5591710","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100521490","display_name":"Y\u0131ld\u0131z Ayd\u0131n","orcid":"https://orcid.org/0000-0001-9061-0109","observed_orcids":["https://orcid.org/0000-0001-9061-0109"]},"institutions":[{"id":"https://openalex.org/I4210091267","display_name":"\u0130stanbul Geli\u015fim \u00dcniversitesi","ror":"https://ror.org/0188hvh39","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210091267"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Y\u0131ld\u0131z Ayd\u0131n","raw_affiliation_strings":["Department of Management and Information Systems ,  I\u0307stanbul Gelis\u0327im University ,  I\u0307stanbul ,  34310 ,  Turkey , gelisim.edu.tr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management and Information Systems ,  I\u0307stanbul Gelis\u0327im University ,  I\u0307stanbul ,  34310 ,  Turkey , gelisim.edu.tr","institution_ids":["https://openalex.org/I4210091267"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057281155","display_name":"Burcu Ni\u015fanc\u0131 T\u00fcrkmen","orcid":"https://orcid.org/0000-0001-7900-0529","observed_orcids":["https://orcid.org/0000-0001-7900-0529"]},"institutions":[{"id":"https://openalex.org/I70387731","display_name":"Amasya \u00dcniversitesi","ror":"https://ror.org/00sbx0y13","country_code":"TR","type":"education","lineage":["https://openalex.org/I70387731"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Burcu Ni\u015fanc\u0131 T\u00fcrkmen","raw_affiliation_strings":["Department of Mathematics ,  Faculty of Art and Science ,  Amasya University ,  Amasya ,  05000 ,  Turkey , amasya.edu.tr"],"raw_orcid":"https://orcid.org/0000-0001-7900-0529","affiliations":[{"raw_affiliation_string":"Department of Mathematics ,  Faculty of Art and Science ,  Amasya University ,  Amasya ,  05000 ,  Turkey , amasya.edu.tr","institution_ids":["https://openalex.org/I70387731"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057281155"],"corresponding_institution_ids":["https://openalex.org/I70387731"],"apc_list":{"value":2060,"currency":"USD","value_usd":2060},"apc_paid":{"value":2060,"currency":"USD","value_usd":2060},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24606514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2024","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.0010999999940395355,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/direct-summands","display_name":"direct summands","score":0.8109999895095825},{"id":"https://openalex.org/keywords/algebraic-classification","display_name":"algebraic classification","score":0.871999979019165}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8993884921073914},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7983589172363281},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5552951097488403},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5039748549461365},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3664761781692505},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.35197991132736206},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08681342005729675},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06931087374687195}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2024/5591710","doi":"https://doi.org/10.1155/2024/5591710","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2024/5591710","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/5591710","source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jjmath:5591710","doi":null,"is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/jmath/2024/5591710.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,"listed_in":[],"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:a167b7c8cd4b44a9a71c4cf2d3f1a219","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/a167b7c8cd4b44a9a71c4cf2d3f1a219","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,"listed_in":[],"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":"Journal of Mathematics, Vol 2024 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2024/5591710","doi":"https://doi.org/10.1155/2024/5591710","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2024/5591710","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/2024/5591710","source":{"id":"https://openalex.org/S2764668616","display_name":"Journal of Mathematics","issn_l":"2314-4629","issn":["2314-4629","2314-4785"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","norway-1","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403433287.pdf","grobid_xml":"https://content.openalex.org/works/W4403433287.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W2007388994","https://openalex.org/W2057715074","https://openalex.org/W2384000006","https://openalex.org/W3035247574","https://openalex.org/W3106981640","https://openalex.org/W3117201727","https://openalex.org/W3157245431","https://openalex.org/W3159215254","https://openalex.org/W4281754698","https://openalex.org/W4391219230","https://openalex.org/W6996682907"],"related_works":["https://openalex.org/W3169523667","https://openalex.org/W4411909592","https://openalex.org/W7132218430","https://openalex.org/W4281754698","https://openalex.org/W2914173484","https://openalex.org/W4408553491","https://openalex.org/W223948676","https://openalex.org/W218514045","https://openalex.org/W4229040121","https://openalex.org/W4391219230"],"abstract_inverted_index":{"We":[0],"call":[1,23],"a":[2,15,35],"Krasner":[3],"right":[4],"S\u2010hypermodule":[5],"A":[6,13,24,32],"regular":[7],"if":[8,26],"each":[9],"cyclic":[10],"subhypermodule":[11,30],"of":[12,18,31,38,45,53,65],"is":[14,75],"direct":[16,36],"summand":[17,37],"A,":[19],"and":[20,73],"we":[21],"also":[22],"semiregular":[25],"every":[27],"finitely":[28],"generated":[29],"lies":[33],"above":[34],"A.":[39],"In":[40],"this":[41],"study,":[42],"some":[43],"properties":[44],"such":[46],"hypermodules":[47],"are":[48],"achieved.":[49],"This":[50],"paper":[51],"consists":[52],"concentrating":[54],"over":[55],"the":[56,68],"radical,":[57],"as":[58,60],"well":[59],"their":[61],"connections":[62],"with":[63],"(semi)regularity":[64],"hypermodules.":[66],"Finally,":[67],"relationship":[69],"between":[70],"f\u2010supplement":[71],"submodule":[72],"semiregularity":[74],"given.":[76]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2024-10-16T00:00:00"}
