Loading...
Primary Decomposition in Non Finitely Generated Modules
Muiny, Somaya
Muiny, Somaya
Citations
Altmetric:
Abstract
In this paper, we study primary decomposition of any proper submodule N of a module M over a noetherian ring R. We start by briefly discussing basic facts about the very well known case where M is a finitely generated module over a Noetherian ring R, then we proceed to discuss the general case where M is any module over a Noetherian ring R. We put a lot of focus on the associated primes that occur with the primary decomposition, essentially studying their uniqueness and their relation to the associated primes of M/N.
Description
Date
4/21/2009
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Research Projects
Organizational Units
Journal Issue
Keywords
Noetherian modules, Primary decomposition, Annihilator, Associated primes, Primary Submodules