Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/12901
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dc.contributor.authorAy Saylam, Başaktr
dc.contributor.authorGürbüz, Ezgitr
dc.contributor.authorHamdi, Haleh-
dc.date.accessioned2023-02-05T13:24:10Z-
dc.date.available2023-02-05T13:24:10Z-
dc.date.issued2022-
dc.identifier.issn0219-4988-
dc.identifier.issn1793-6829-
dc.identifier.urihttps://doi.org/10.1142/S021949882350250X-
dc.identifier.urihttps://hdl.handle.net/11147/12901-
dc.description.abstractA commutative ring R has the unique decomposition into ideals (UDI) property if, for any R-module that decomposes into a finite direct sum of indecomposable ideals, this decomposition is unique up to the order and isomorphism classes of the indecomposable ideals. In [P. Goeters and B. Olberding, Unique decomposition into ideals for Noetherian domains, J. Pure Appl. Algebra 165 (2001) 169-182], the UDI property has been characterized for Noetherian integral domains. In this paper, we aim to study the UDI-like property for strong Mori domains; domains satisfying the ascending chain condition on w-ideals.en_US
dc.description.sponsorshipThe authors would like to thank the referee for his/her comments and suggestions. This paper was completed while Haleh Hamdi was visiting.Izmir Institute of Technology. She would like to thank people in the Department of Mathematics for their hospitality. Also, Haleh Hamdi disclosed receipt of the following financial support for the research: This research was in part supported by a grant from IPM (No. 14001300113).en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publishingen_US
dc.relation.ispartofJournal of Algebra and its Applicationsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectUDI propertyen_US
dc.subjectStrong Mori domainen_US
dc.subjectModules (Algebra)en_US
dc.titleUnique decompositions into w-ideals for strong Mori domainsen_US
dc.typeArticleen_US
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.wosWOS:000850770000002en_US
dc.identifier.scopus2-s2.0-85138140778en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr
dc.identifier.doi10.1142/S021949882350250X-
dc.authorscopusid57893902100-
dc.authorscopusid57739757300-
dc.authorscopusid57200495304-
dc.identifier.scopusqualityQ2-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.languageiso639-1en-
item.fulltextNo Fulltext-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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