| Autor: |
Ay Saylam, Başak, Gürbüz, Ezgi, Hamdi, Haleh |
| Předmět: |
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| Zdroj: |
Journal of Algebra & Its Applications; Dec2023, Vol. 22 Issue 12, p1-14, 14p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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