JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 3, Pages 465 - 477
(December 2006)
|
|
MODULES HAVING THE PURE INTERSECTION PROPERTY
Abdelkader Hamdouni (Tunisia)
|
Abstract: R will be a ring with identity and module M will be unital left R-modules. In this paper, we introduce the concept of modules having the pure intersection property (the PIP). We investigate the properties of modules with the PIP. We give a characterization of modules with the PIP, among others and prove that for a flat module M, M has the PIP if and only if for any pure submodules N and L, N + L is flat. |
Keywords and phrases: pure submodule, flat module, projective module, prime module, torsion-free module. |
|
Number of Downloads: 462 | Number of Views: 1326 |
|