Published May 24, 2022
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Homomorphisms and direct sum of uniserial modules
Authors/Creators
- 1. Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India.
- 2. College of Applied Industrial Technology, Jazan University, Jazan, Kingdom of Saudi Arabia.
Description
A right module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. Here we characterize the finitely generated submodule N of a QTAG-module M such that all homomorphisms or monomorphisms of the finitely generated submodule N into the QTAG-module M, or all endomorphisms of the finitely generated submodule N, extends to an endomorphism of the QTAG-module M.
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- Cites
- Journal article: 2457-0834 (ISSN)