On the Socles of Commutator Invariant Submodules of $QTAG$-Modules

Authors

  • Ayazul Hasan Department of Mathematics Faculty of Science, Jazan University

Keywords:

$QTAG$-modules, commutator invariant submodules, socles, commutator socle-regular $QTAG$-modules

Abstract

In [9, 8, 10], respectively, socles have been studied with the aid of fully invariant, characteristic and projection invariant submodules of $QTAG$-modules. Here we focus our attention on the socles of commutator invariant submodules and introduce a new class of modules, which we term commutator socle-regular $QTAG$-modules. After establishing some crucial properties of commutator socle-regularity, we show that the addition of separable summand to a module does not influence commutator socle-regularity.

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Published

2018-08-22

Issue

Vol. 10 No. 7 (2018): On the Socles of Commutator Invariant Submodules of $QTAG$-Modules

Section

Articles

How to Cite

[1]
A. Hasan, “On the Socles of Commutator Invariant Submodules of $QTAG$-Modules”, Armen.J.Math., vol. 10, no. 7, pp. 1–11, Aug. 2018, Accessed: Jan. 15, 2025. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/216