TL;DR
This paper investigates the conditions under which compressible modules are critically compressible, providing new criteria and characterizations involving injective hulls, continuity, and module types.
Contribution
It introduces sufficient conditions for the injective hull of critically compressible modules to be critically compressible and characterizes such modules using various module properties.
Findings
Identifies conditions for critical compressibility of modules
Provides criteria for the injective hull to be critically compressible
Characterizes critically compressible modules via CS, nonsingular, and cyclic modules
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
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Taxonomy
TopicsIntracranial Aneurysms: Treatment and Complications · Rings, Modules, and Algebras