Normal Subgroups and Quotient Groups in β-α-topological Group

doi:https://doi.org/10.31559/glm2018.5.1.3

Volume 5 - Issue 1 (3) | PP: 15 - 23 Language : English
DOI : https://doi.org/10.31559/glm2018.5.1.3

657

Normal Subgroups and Quotient Groups in β-α-topological Group

Received Date	Revised Date	Accepted Date	Publication Date
6/12/2018	30/12/2018	15/1/2019	14/2/2019

Abstract

In this paper, we studied the subgroup in β-α-topological group and several basic theorems are introduced. From normal subgroups, the study naturally follows to quotient groups, which are decomposition spaces topologically. The quotient group space of β-α-topological groups deﬁned with the quotient topology. Also, the deﬁnition and some basic results of isomorphism are presented.

Keywords: operations, α-open set, subgroups, β-α-topological group

How To Cite This Article

Ibrahim , H. Z. & Khalaf , A. B. (2019). Normal Subgroups and Quotient Groups in β-α-topological Group . General Letters in Mathematics, 5 (1), 15-23, 10.31559/glm2018.5.1.3

Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.