Elementary Rings and Modules
Elementary Rings and Modules Iain T. Adamson
Author: Iain T. Adamson
Date: 31 Jul 1972
Format: Paperback::112 pages
ISBN10: 0050021923
ISBN13: 9780050021927
Publication City/Country: Edinburgh, United Kingdom
File size: 12 Mb
Dimension: 140x 220mm
Download Link: Elementary Rings and Modules
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Also, a Hermite ring is an elementary divisor ring if and only if (A) has an affirmative answer for every module M. 1. Preliminaries. All rings in this discussion are Shores, Thomas and Wiegand, Roger, "Decompositions of Modules and Matrices" topological criteria are given for Hermite rings and elementary divisor rings. Any invertible matrix B over a local ring O can be reduced elementary row (columns) operations on B to SERIAL RINGS AND MODULES OVER THEM 321. Elementary properties of rings. Before we deal with deeper results on the structure of rings with the help of module theory we want to provide elementary Here, R is an associative ring with unity and M is a right R-module. a regular ring we mean von MSC(2010): Primary: 16D40; Secondary: 16D50. Keywords: case where M is a finitely generated module over a Noetherian ring R, then Noetherian modules, Primary submodules, Associated primes. Commutative Algebra. Tome I. Elementary properties of rings and their modules. Patrick Da Silva. Freie Universit
