{"id":"https://openalex.org/W7225005289","doi":"https://doi.org/10.1007/s13370-026-01533-8","title":"Idealization in commutative $$\\Gamma $$-rings: structure and applications","display_name":"Idealization in commutative $$\\Gamma $$-rings: structure and applications","publication_year":2026,"publication_date":"2026-10-31","ids":{"openalex":"https://openalex.org/W7225005289","doi":"https://doi.org/10.1007/s13370-026-01533-8"},"language":"en","primary_location":{"id":"doi:10.1007/s13370-026-01533-8","doi":"https://doi.org/10.1007/s13370-026-01533-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13370-026-01533-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210170835","display_name":"Afrika Matematika","issn_l":"1012-9405","issn":["1012-9405","2190-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2"],"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":"Afrika Matematika","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5055309465","display_name":"Shadi Shaqaqha","orcid":"https://orcid.org/0000-0002-5950-943X","observed_orcids":["https://orcid.org/0000-0002-5950-943X"]},"institutions":[{"id":"https://openalex.org/I85507684","display_name":"Yarmouk University","ror":"https://ror.org/004mbaj56","country_code":"JO","type":"education","lineage":["https://openalex.org/I85507684"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Shadi Shaqaqha","raw_affiliation_strings":["Department of Mathematics, Yarmouk University, Irbid, Jordan"],"raw_orcid":"https://orcid.org/0000-0002-5950-943X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yarmouk University, Irbid, Jordan","institution_ids":["https://openalex.org/I85507684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055309465"],"corresponding_institution_ids":["https://openalex.org/I85507684"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"4","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":0.9961000084877014,"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":0.9961000084877014,"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":0.002899999963119626,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.00019999999494757503,"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/idealization","display_name":"idealization","score":0.7990000247955322},{"id":"https://openalex.org/keywords/gamma-modules","display_name":"(\u03c6,\u0393)-modules","score":0.9909999966621399},{"id":"https://openalex.org/keywords/z2-grading","display_name":"Z2-grading","score":0.9959999918937683}],"concepts":[{"id":"https://openalex.org/C2780986378","wikidata":"https://www.wikidata.org/wiki/Q776634","display_name":"Idealization","level":2,"score":0.9639000296592712},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6848999857902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643000245094299},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5957000255584717},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.489300012588501},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.42660000920295715},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4172999858856201},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3441999852657318},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2842000126838684}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s13370-026-01533-8","doi":"https://doi.org/10.1007/s13370-026-01533-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s13370-026-01533-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210170835","display_name":"Afrika Matematika","issn_l":"1012-9405","issn":["1012-9405","2190-7668"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-2"],"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":"Afrika Matematika","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1881812861","https://openalex.org/W1997853730","https://openalex.org/W2042893668","https://openalex.org/W2103994138","https://openalex.org/W2553619345","https://openalex.org/W4311549592","https://openalex.org/W4404826227","https://openalex.org/W7117999690"],"related_works":["https://openalex.org/W6888873448","https://openalex.org/W3153489591","https://openalex.org/W3132699656","https://openalex.org/W2118587718","https://openalex.org/W2982338550","https://openalex.org/W2969660935","https://openalex.org/W7098781777","https://openalex.org/W3123523481","https://openalex.org/W864671360","https://openalex.org/W4394785722"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-01T00:00:00"}
