New small, S-essential and S-small soft submodules

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Published: 2025-10-20
DOI: https://doi.org/10.56947/gjom.v21i1.3303
Keywords:
Multiplicatively closed subsets, Small soft modules, Essential soft modules, S-essential soft submodules, S-small submodules

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Poramate Sangchan
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Thailand
Ronnason Chinram
Division of Computational Science, Faculty of Science, Prince of Songkla University, Thailand
Samruam Baupradist
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Thailand

Abstract

In this paper, we define a new version of small soft submodules by using the operation sums that were introduced by Turkmen and Pancar. Moreover, we introduce the concepts of S-small soft submodules and S-essential soft submodules. Moreover, we investigate their properties by focusing on mapping of each soft module.

Article Details

Issue

Vol. 21 No. 1 (2025)

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Articles

How to Cite

New small, S-essential and S-small soft submodules. (2025). Gulf Journal of Mathematics, 21(1), 457-469. https://doi.org/10.56947/gjom.v21i1.3303