Basic constructions of topological n-ary polygroups

[EN] 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...

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Detalhes bibliográficos
Autores: Mostaghimy, M., Davvaz, Bijan
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/221853
Acesso em linha:https://riunet.upv.es/handle/10251/221853
Access Level:acceso abierto
Palavra-chave:polygroup
n-ary hyperoperation
n-ary topological polygroup
Descrição
Resumo:[EN] 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.