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https://hdl.handle.net/11147/12901
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. | URI: | https://doi.org/10.1142/S021949882350250X https://hdl.handle.net/11147/12901 |
ISSN: | 0219-4988 1793-6829 |
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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