✦ LIBER ✦

Direct Sum Cancellation of Noetherian Modules

✍ Scribed by Gary Brookfield

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 198 KB
Volume: 200
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7221

No coin nor oath required. For personal study only.

✦ Synopsis

Let A, B, and C be modules over a unital ring R such that C is Noetherian and

Even though A and B need not be isomorphic, we show that they have isomorphic submodule series, and, equivalently, that A and B are indistinguishable by functions on the category of R-modules that respect short exact sequences.

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