{"id":"https://openalex.org/W7118178384","doi":"https://doi.org/10.1007/s40574-025-00524-0","title":"On the decomposition of the ideal index over a PID","display_name":"On the decomposition of the ideal index over a PID","publication_year":2026,"publication_date":"2026-01-05","ids":{"openalex":"https://openalex.org/W7118178384","doi":"https://doi.org/10.1007/s40574-025-00524-0"},"language":"en","primary_location":{"id":"doi:10.1007/s40574-025-00524-0","doi":"https://doi.org/10.1007/s40574-025-00524-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40574-025-00524-0","pdf_url":null,"source":{"id":"https://openalex.org/S148764789","display_name":"Bollettino Della Unione Matematica Italiana","issn_l":"1972-6724","issn":["1972-6724","2198-2759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bollettino dell'Unione Matematica Italiana","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W7118178384"],"child_works_count":0,"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/A5121919919","display_name":"M. E. Charkani","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. E. Charkani","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Dhar-Mahraz, B.P. 1796, Fes, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Dhar-Mahraz, B.P. 1796, Fes, Morocco","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000942835","display_name":"Omar Boughaleb","orcid":"https://orcid.org/0000-0003-1267-0928","observed_orcids":["https://orcid.org/0000-0003-1267-0928"]},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Omar Boughaleb","raw_affiliation_strings":["FSDM, Sidi Mohamed Ben Abdellah University, Fez, Morocco"],"raw_orcid":"https://orcid.org/0000-0003-1267-0928","affiliations":[{"raw_affiliation_string":"FSDM, Sidi Mohamed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000942835"],"corresponding_institution_ids":["https://openalex.org/I81605866"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"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":"19","issue":"4","first_page":"919","last_page":"928"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.7534000277519226,"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":0.7534000277519226,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.1559000015258789,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.06949999928474426,"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/principal-ideal-domains","display_name":"principal ideal domains","score":0.7639999985694885},{"id":"https://openalex.org/keywords/finitely-generated-modules","display_name":"finitely generated modules","score":0.7960000038146973},{"id":"https://openalex.org/keywords/cubic-number-fields","display_name":"cubic fields","score":0.609000027179718},{"id":"https://openalex.org/keywords/number-fields","display_name":"number fields","score":0.8109999895095825},{"id":"https://openalex.org/keywords/structure-theorem","display_name":"structure theorem","score":0.4869999885559082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8507000207901001},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6956999897956848},{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.5587999820709229},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.48669999837875366},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4803999960422516},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.44350001215934753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42829999327659607},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C78766492","wikidata":"https://www.wikidata.org/wiki/Q44382","display_name":"Principal ideal","level":3,"score":0.3682999908924103},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.36649999022483826},{"id":"https://openalex.org/C20080352","wikidata":"https://www.wikidata.org/wiki/Q206816","display_name":"Continued fraction","level":3,"score":0.3564999997615814},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35530000925064087},{"id":"https://openalex.org/C183763347","wikidata":"https://www.wikidata.org/wiki/Q120976","display_name":"Factorial","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.34439998865127563},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.3328999876976013},{"id":"https://openalex.org/C124973616","wikidata":"https://www.wikidata.org/wiki/Q1199022","display_name":"Radical of an ideal","level":5,"score":0.32739999890327454},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.29919999837875366},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29170000553131104},{"id":"https://openalex.org/C8367249","wikidata":"https://www.wikidata.org/wiki/Q912083","display_name":"Ideal class group","level":3,"score":0.27649998664855957},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25609999895095825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40574-025-00524-0","doi":"https://doi.org/10.1007/s40574-025-00524-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40574-025-00524-0","pdf_url":null,"source":{"id":"https://openalex.org/S148764789","display_name":"Bollettino Della Unione Matematica Italiana","issn_l":"1972-6724","issn":["1972-6724","2198-2759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bollettino dell'Unione Matematica Italiana","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1534790392","https://openalex.org/W1889222383","https://openalex.org/W2018714139","https://openalex.org/W2093470907","https://openalex.org/W2097531062","https://openalex.org/W2144640311","https://openalex.org/W2946025828","https://openalex.org/W2962785928","https://openalex.org/W2963942707","https://openalex.org/W3010130186","https://openalex.org/W4230616164","https://openalex.org/W4239519337","https://openalex.org/W4245235343"],"related_works":["https://openalex.org/W2315213512","https://openalex.org/W7099835350","https://openalex.org/W2047210081","https://openalex.org/W2050013396","https://openalex.org/W2162933504","https://openalex.org/W2047647860","https://openalex.org/W1967806548","https://openalex.org/W13616303","https://openalex.org/W2072628038","https://openalex.org/W2913451037"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-01-05T00:00:00"}
