Connected topological $n$-ary polygroups and fundamental relations

Authors

  • M. Mostaghimy Yazd University
  • Bijan Davvaz Yazd University

Abstract

In this paper, we study connected topological $n$-ary polygroups
and investigate their properties. Specially, in any locally
compact $n$-ary polygroup, we ontain some equivalent conditions
for connectivity. Furethermore, we prove some results about the
quotient topological $n$-ary polygroups. Finally, by using the
notion of fundamenta relation we make a connection between
topological $n$-ary polygroups and topological $n$-ary groups.

Published

2025-08-19

Issue

Vol. 19

Section

Vol. 19, No. 4, (2025)

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