Unique decomposition into ideals for reduced commutative Noetherian rings, II

✍ Scribed by Başak Ay

Book ID: 113740240
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 264 KB
Volume: 216
Category: Article
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2011.10.008

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Unique decompositions into ideals for No

Unique decompositions into ideals for Noetherian domains

✍ Pat Goeters; Bruce Olberding 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 136 KB

A commutative ring R has the unique decompositions into ideals (UDI) property if, for any module L that decomposes into a ÿnite direct sum of ideals, the decomposition of L into ideals is unique apart from the order of the ideals. We characterize the UDI Noetherian integral domains.