Date of Award
Master of Science (MS)
Mathematics and Statistics
Yongwei Yao - Chair
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.
Muiny, Somaya, "Primary Decomposition in Non Finitely Generated Modules." Thesis, Georgia State University, 2009.