Compressible Modules
Commutative Algebra
2012-03-14 v1 Rings and Algebras
Abstract
The main purpose of this paper is to study under what condition compressible modules are critically compressible. A sufficient condition for the injective hull of a critically compressible module to be critically compressible is also provided. Furthermore we prove sufficient conditions for a critically compressible module to be continuous. In addition, some characterization of critically compressible modules in terms of CS modules, nonsingular modules and cyclic modules are also provided
Keywords
Cite
@article{arxiv.1203.2720,
title = {Compressible Modules},
author = {Abhay K. Singh},
journal= {arXiv preprint arXiv:1203.2720},
year = {2012}
}