Module structures on $L$-algebras

Articles in Press

Document Type : Research Paper

Authors

1 Hatef Higher Education Institute, Zahedan, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

3 Department of Mathematics, Soft Computing and Artificial Intelligence Center, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

Abstract

In this paper, we apply the modules theory to $L$-algebras and introduce the concept of an $L$-module. Then we construct $L$-modules by using power sets and De Morgan algebras. Moreover, we investigate some properties of modules such as sub-module and other related results. Finally, we introduce the concepts of multiplication $L$-modules and co-multiplication $L$-modules and we will represent each sub-module of an $L$-module by using them.

Keywords

References

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Algebraic Structures and Their Applications

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Available Online from 05 November 2025

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