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

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...

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Main Authors: Hariwan Z. Ibrahim, Alias B. Khalaf
Format: Article
Language:English
Published: Refaad 2018-01-01
Series:General Letters in Mathematics
Subjects:
Online Access:http://www.refaad.com/Files/GLM/GLM-5-1-3.pdf
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spelling doaj-6551dfa1807e4270af1d251bcb7efc722020-11-24T20:41:56ZengRefaadGeneral Letters in Mathematics 2519-92692519-92772018-01-01511523Normal Subgroups and Quotient Groups in β-α-topological GroupHariwan Z. IbrahimAlias B. KhalafIn 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.http://www.refaad.com/Files/GLM/GLM-5-1-3.pdfoperationsα-open setsubgroupsβ-α-topological group
collection DOAJ
language English
format Article
sources DOAJ
author Hariwan Z. Ibrahim
Alias B. Khalaf
spellingShingle Hariwan Z. Ibrahim
Alias B. Khalaf
Normal Subgroups and Quotient Groups in β-α-topological Group
General Letters in Mathematics
operations
α-open set
subgroups
β-α-topological group
author_facet Hariwan Z. Ibrahim
Alias B. Khalaf
author_sort Hariwan Z. Ibrahim
title Normal Subgroups and Quotient Groups in β-α-topological Group
title_short Normal Subgroups and Quotient Groups in β-α-topological Group
title_full Normal Subgroups and Quotient Groups in β-α-topological Group
title_fullStr Normal Subgroups and Quotient Groups in β-α-topological Group
title_full_unstemmed Normal Subgroups and Quotient Groups in β-α-topological Group
title_sort normal subgroups and quotient groups in β-α-topological group
publisher Refaad
series General Letters in Mathematics
issn 2519-9269
2519-9277
publishDate 2018-01-01
description 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.
topic operations
α-open set
subgroups
β-α-topological group
url http://www.refaad.com/Files/GLM/GLM-5-1-3.pdf
work_keys_str_mv AT hariwanzibrahim normalsubgroupsandquotientgroupsinbatopologicalgroup
AT aliasbkhalaf normalsubgroupsandquotientgroupsinbatopologicalgroup
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