3 papers
math.AC2023
Submodules having the same generalized prime ideal factorization
K. R. Thulasi, T. Duraivel, S. Mangayarcarassy
In our recent work, we introduced a generalization of the prime ideal factorization in Dedekind domains for submodules of finitely generated modules over Noetherian rings. In this…
math.AC2023
Ideals as generalized prime ideal factorization of submodules
K. R. Thulasi, T. Duraivel, S. Mangayarcarassy
For a submodule of an -module , a unique product of prime ideals in is assigned, which is called the generalized prime ideal factorization of in , and denoted…
math.AC2023
Product of prime ideals as factorization of submodules
K. R. Thulasi, T. Duraivel, S. Mangayarcarassy
For a proper submodule of a finitely generated module over a Noetherian ring, the product of prime ideals which occur in a regular prime extension filtration of over $N…