Compressible Modules

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 critica...

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Bibliographic Details
Main Author Singh, Abhay K
Format Journal Article
LanguageEnglish
Published 13.03.2012
Subjects
Mathematics - Commutative Algebra
Mathematics - Rings and Algebras
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Summary: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
DOI:10.48550/arxiv.1203.2720