Basic constructions of topological n-ary polygroups

In this paper, we begin the study of topological n-ary polygroups. We begin by stating some properties of topological n-ary polygroups and introducing quotient n-ary polygroups. We consider topological isomorphism and prove some topological isomorphism theorems. Moreover, We define the concept of cp...

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Main Authors: M. Mostaghimy, B. Davvaz
Format: Article
Language:English
Published: Universitat Politècnica de València 2025-04-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/21078
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author M. Mostaghimy
B. Davvaz
author_facet M. Mostaghimy
B. Davvaz
author_sort M. Mostaghimy
collection DOAJ
description In this paper, we begin the study of topological n-ary polygroups. We begin by stating some properties of topological n-ary polygroups and introducing quotient n-ary polygroups. We consider topological isomorphism and prove some topological isomorphism theorems. Moreover, We define the concept of cp-resolvable topological polygroups and investigate a few properties of them.
format Article
id doaj-art-9ea041537a2040a683cdb92077b841cf
institution Kabale University
issn 1576-9402
1989-4147
language English
publishDate 2025-04-01
publisher Universitat Politècnica de València
record_format Article
series Applied General Topology
spelling doaj-art-9ea041537a2040a683cdb92077b841cf2025-08-20T03:44:36ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472025-04-012618711410.4995/agt.2025.2107820271Basic constructions of topological n-ary polygroupsM. Mostaghimy0https://orcid.org/0009-0004-2920-3466B. Davvaz1https://orcid.org/0000-0003-1941-5372Yazd UniversityYazd UniversityIn this paper, we begin the study of topological n-ary polygroups. We begin by stating some properties of topological n-ary polygroups and introducing quotient n-ary polygroups. We consider topological isomorphism and prove some topological isomorphism theorems. Moreover, We define the concept of cp-resolvable topological polygroups and investigate a few properties of them.https://polipapers.upv.es/index.php/AGT/article/view/21078polygroupn-ary hyperoperationn-ary topological polygroup
spellingShingle M. Mostaghimy
B. Davvaz
Basic constructions of topological n-ary polygroups
Applied General Topology
polygroup
n-ary hyperoperation
n-ary topological polygroup
title Basic constructions of topological n-ary polygroups
title_full Basic constructions of topological n-ary polygroups
title_fullStr Basic constructions of topological n-ary polygroups
title_full_unstemmed Basic constructions of topological n-ary polygroups
title_short Basic constructions of topological n-ary polygroups
title_sort basic constructions of topological n ary polygroups
topic polygroup
n-ary hyperoperation
n-ary topological polygroup
url https://polipapers.upv.es/index.php/AGT/article/view/21078
work_keys_str_mv AT mmostaghimy basicconstructionsoftopologicalnarypolygroups
AT bdavvaz basicconstructionsoftopologicalnarypolygroups