A New Type of Weakly Commutative Groups
General Mathematics
2019-11-12 v1
Abstract
The aim of the present paper is to define and study a new class of groups, namely Wm-groups with a single binary operation based on axioms of semi commutativity, right identity and left inverse. Moreover, we introduce the notions of right cosets, quotient Wm-groups, homomorphisms, kernel and normal Wm-subgroups in terms of Wm-groups, and investigate some of their properties.
Cite
@article{arxiv.1911.04259,
title = {A New Type of Weakly Commutative Groups},
author = {Hariwan Z. Ibrahim and Muwafaq M. Salih},
journal= {arXiv preprint arXiv:1911.04259},
year = {2019}
}