Unique decompositions into ideals for Noetherian domains

✍ Scribed by Pat Goeters; Bruce Olberding

• Book ID: 104152394
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 136 KB
• Volume: 165
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(00)00182-1

✦ Synopsis

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.