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

Volume 5, Issue 1, Article 3 - 2018

Authors: Hariwan Z. Ibrahim;Alias B. Khalaf

Copyright © 2018 . 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.

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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.

How To Cite This Article

@article{Ibrahim_2018, doi = {10.31559/glm2018.5.1.3}, url = {https://doi.org/10.31559%2Fglm2018.5.1.3}, year = 2018, month = {aug}, publisher = {Refaad for Studies and Research}, volume = {5}, number = {1}, pages = {15--23}, author = {Hariwan Z. Ibrahim and Alias B. Khalaf}, title = {Normal Subgroups and Quotient Groups in $\upbeta$-$\upalpha$-topological Group}, journal = {General Letters in Mathematics} }
Ibrahim, H. Z., & Khalaf, A. B. (2018). Normal Subgroups and Quotient Groups in β-α-topological Group. General Letters in Mathematics, 5(1), 15–23. doi:10.31559/glm2018.5.1.3
[1]H. Z. Ibrahim and A. B. Khalaf, “Normal Subgroups and Quotient Groups in β-α-topological Group,” General Letters in Mathematics, vol. 5, no. 1, pp. 15–23, Aug. 2018.
Ibrahim, Hariwan Z., and Alias B. Khalaf. “Normal Subgroups and Quotient Groups in β-α-Topological Group.” General Letters in Mathematics 5, no. 1 (August 2018): 15–23. doi:10.31559/glm2018.5.1.3.