Some aspects of ∗−symmetric modules

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, Gauhati University, Guwahati, Assam, India.

10.22034/as.2026.23575.1819

Abstract

In this paper, the notion of $*-$symmetric modules is introduced as an extension of $*-$symmetric rings to modules. Specifically, modules whose endomorphism rings satisfy the $*-$symmetric condition are investigated. Furthermore, we demonstrate that every $*-$symmetric module is a symmetric module, exhibits reversible properties, and satisfies the Insertion of Factors Property. In particular, fundamental results concerning $*-$symmetric and symmetric rings are extended to the context of $*-$symmetric modules.

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References

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Algebraic Structures and Their Applications

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Available Online from 02 September 2026

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