$H_v$-Normal subgroups and $H_v$-quotient groups

Authors

  • Mansour Ghadiri ‎Department of Mathematics‎, ‎Yazd University‎, ‎Yazd‎, ‎Iran

DOI:

https://doi.org/10.30495/jme.v12i1.687

Keywords:

‎$H_v$-group, ‎weak homomorphism‎, ‎$H_v$-normal subgroup‎, ‎$H_v$-quotient group, ‎fundamental relation.

Abstract

‎A larger class of algebraic hyperstructures satisfying the group-like axioms is the class of $H_v$-groups‎. ‎In this paper‎, ‎without any condition and in general‎, ‎we define the $H_v$-normal subgroup and the $H_v$-quotient group of a $H_v$-group‎. ‎We introduce the fundamental equivalence relation of a $H_v$-quotient group and prove the first and third isomorphism theorems for $H_v$-groups‎.

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Published

2018-06-29

Issue

Vol. 12

Section

Vol. 12, No. 3, (2018)

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