A New Type of Weakly Commutative Groups

Hariwan Z. Ibrahim(1) , Muwafaq M. Salih(2)
(1) University of Zakho ,
(2) University of Duhok

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.

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Authors

Hariwan Z. Ibrahim
hariwan.ibrahim@uoz.edu.krd (Primary Contact)
Muwafaq M. Salih
Author Biographies

Hariwan Z. Ibrahim

Dept. of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq

Muwafaq M. Salih

Dept. of Mathematics, College of Basic Education, University of Duhok, Kurdistan Region, Iraq

Ibrahim, H. Z., & Salih, M. M. (2017). A New Type of Weakly Commutative Groups. Science Journal of University of Zakho, 5(2), 228-231. https://doi.org/10.25271/2017.5.2.373

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How to Cite

Ibrahim, H. Z., & Salih, M. M. (2017). A New Type of Weakly Commutative Groups. Science Journal of University of Zakho, 5(2), 228-231. https://doi.org/10.25271/2017.5.2.373

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