Unique decompositions into w-ideals for strong Mori domains

Autor:	Başak Ay Saylam, Ezgi Gürbüz, Haleh Hamdi
Rok vydání:	2022
Předmět:	Algebra and Number Theory Applied Mathematics
Zdroj:	Journal of Algebra and Its Applications.
ISSN:	1793-6829 0219-4988
DOI:	10.1142/s021949882350250x
Popis:	A commutative ring [Formula: see text] has the unique decomposition into ideals (UDI) property if, for any [Formula: see text]-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 [Formula: see text]-ideals.
Databáze:	OpenAIRE
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