Totally projective $QTAG$-modules and generalizations

Ayazul Hasan; Mohd Noman Ali; Vinit Kumar Sharma

doi:10.13069/jacodesmath.v12i2.323

Authors

Ayazul Hasan College of Applied Industrial Technology, Jazan University, Jazan- P.O. Box 2097, Kingdom of Saudi Arabia https://orcid.org/0000-0002-4540-3618
Mohd Noman Ali Department of Mathematics, Shri Venkateshwara University, Gajraula, Amroha-Uttar Pradesh, India https://orcid.org/0009-0008-6474-1859
Vinit Kumar Sharma Department of Mathematics, Shri Venkateshwara University, Gajraula, Amroha-Uttar Pradesh, India https://orcid.org/0009-0001-3879-2651

DOI:

https://doi.org/10.13069/jacodesmath.v12i2.323

Keywords:

$QTAG$-modules, Totally projective modules, Isotype submodules, Separable submodules

Abstract

In this project, we prioritize our study on some types of generalized torsion abelian groups. The torsion abelian group is an important tool in the theory of modules. Analogous to this concept, we study the totally projective modules and discuss its relation with isotype as well as separable submodules. One of the main purposes of the present paper is to give a necessary and sufficient condition for an isotype submodule of a totally projective module to be itself a totally projective module.

Received: 20 March 2024 | Accepted: 26 May 2024

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Totally projective $QTAG$-modules and generalizations

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