Topological Up-Algebras

Topological Up-Algebras

In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furtherm...

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Main Authors: Satirad Akarachai, Iampan Aiyared
Format: Article
Language:English
Published: Sciendo 2019-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
topological up-algebra
quotient topological space
topological up-homomorphism
primary: 03g25
secondary: 54a05
Online Access:https://doi.org/10.7151/dmgaa.1317
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spelling doaj-1c13798439ef430189a49be2bdc335b62021-09-05T17:19:43ZengSciendoDiscussiones Mathematicae - General Algebra and Applications2084-03732019-12-0139223125010.7151/dmgaa.1317dmgaa.1317Topological Up-AlgebrasSatirad Akarachai0Iampan Aiyared1Department of Mathematics, School of Science, University of Phayao, Phayao56000, ThailandDepartment of Mathematics, School of Science, University of Phayao, Phayao56000, ThailandIn this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furthermore, we study the relation between topological UP-algebras, Hausdor spaces, discrete spaces, and quotient topological spaces, and prove some properties of topological UP-algebras.https://doi.org/10.7151/dmgaa.1317topological up-algebraquotient topological spacetopological up-homomorphismprimary: 03g25secondary: 54a05
collection DOAJ
language English
format Article
sources DOAJ
author Satirad Akarachai
Iampan Aiyared
spellingShingle Satirad Akarachai
Iampan Aiyared
Topological Up-Algebras
Discussiones Mathematicae - General Algebra and Applications
topological up-algebra
quotient topological space
topological up-homomorphism
primary: 03g25
secondary: 54a05
author_facet Satirad Akarachai
Iampan Aiyared
author_sort Satirad Akarachai
title Topological Up-Algebras
title_short Topological Up-Algebras
title_full Topological Up-Algebras
title_fullStr Topological Up-Algebras
title_full_unstemmed Topological Up-Algebras
title_sort topological up-algebras
publisher Sciendo
series Discussiones Mathematicae - General Algebra and Applications
issn 2084-0373
publishDate 2019-12-01
description In this paper, we introduce the notion of topological UP-algebras and several types of subsets of topological UP-algebras, and prove the generalization of these subsets. We also introduce the notions of quotient topological spaces of topological UP-algebras and topological UP-homomorphisms. Furthermore, we study the relation between topological UP-algebras, Hausdor spaces, discrete spaces, and quotient topological spaces, and prove some properties of topological UP-algebras.
topic topological up-algebra
quotient topological space
topological up-homomorphism
primary: 03g25
secondary: 54a05
url https://doi.org/10.7151/dmgaa.1317
work_keys_str_mv AT satiradakarachai topologicalupalgebras
AT iampanaiyared topologicalupalgebras
_version_ 1717786561692565504

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