Hv-Normal subgroups and Hv-quotient groups

Author(s):

Mansour Ghadiri

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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

Keywords:

Hv-group , Weak homomorphism , Hv-normalsubgroup , Hv-quotient group , Fundamental relation

Language:
English
Published:
Journal of Mathematical Extension, Volume:12 Issue: 3, Summer 2018
Pages:
131 to 145
https://www.magiran.com/p2266436