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Title: Unique decompositions into w-ideals for strong Mori domains
Authors: Ay Saylam, Başak
Gürbüz, Ezgi
Hamdi, Haleh
Keywords: UDI property
Strong Mori domain
Modules (Algebra)
Issue Date: 2022
Publisher: World Scientific Publishing
Abstract: A 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.
ISSN: 0219-4988
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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