On the primefulness of local cohomology modules
DOI:
https://doi.org/10.54153/sjpas.2021.v3i1.243Keywords:
Local cohomology modules, Minimax modules, Primeful modules.Abstract
Let be a commutative Noetherian ring with identity For a non-zero module . We prove that a multiplication primeful module and are I-cofinite and primeful, for each where is an ideal of with . As a consequence, we deduce that, if and are multiplication primeful R- modules, then is primeful. Another result is, for a projective module over an integral domain, admits projective resolution such that each is primeful (faithfully flat).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Samarra Journal of Pure and Applied Science

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.