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- Title
Purely Extending Modules and Their Generalizations.
- Authors
KUMAR, SHIV; JI GUPTA, ASHOK
- Abstract
A purely extending module is a generalization of an extending module. In this paper, we study several properties of purely extending modules and introduce the notion of purely essentially Baer modules. A module M is said to be a purely essentially Baer if the right annihilator in M of any left ideal of the endomorphism ring of M is essential in a pure submodule of M. We study some properties of purely essentially Baer modules and characterize von Neumann regular rings in terms of purely essentially Baer modules.
- Subjects
VON Neumann, John, 1903-1957; ENDOMORPHISM rings; GENERALIZATION
- Publication
Kyungpook Mathematical Journal, 2023, Vol 63, Issue 1, p15
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2022.63.1.15