Soft Crossed Hypermodules And Soft HG-Hypergroupoids

Authors

  • Mohammad Ali Dehghanizadeh Department of Mathematics‎, ‎National University of Skills (NUS)‎, ‎Tehran‎, ‎Iran

DOI:

https://doi.org/10.30495/jme.v18i0.3120

Keywords:

Soft Set, Hypergroup, Soft Hypergroup, Crossed Hypermodule, Soft Crossed hypermodule, Soft HG-hypergroupids

Abstract

In this article, we introduce the soft subhypergroupoid andsoft action hypergroupoid and study their properties. We consider thecategory of soft hypergroupoids whose objects are soft hypergroupoidsand morphisms are soft hypergroupoid homomorphisms. Also we con-sider the concept of soft crossed hypermodules and the category of softcrossed hypermodules. We show that a soft hg-hypergroupoid, can beobtained from each soft crossed hypermodule and a soft crossed hyper-module, can be obtained from each soft hg-hypergroupoid. In addition,we show that soft hg-hypergroupoids and soft crossed hypermodules,are equivalent categories.

Author Biography

Mohammad Ali Dehghanizadeh, Department of Mathematics‎, ‎National University of Skills (NUS)‎, ‎Tehran‎, ‎Iran

Assistant Professor of Mathematics

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Published

2024-12-21

Issue

Vol. 18

Section

Vol. 18, No. 6, (2024)

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