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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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 |
_version_ |
1716823788162646016 |