Reprint of: On topological quasigroups and multiple identities

被引：0

作者：

Chiriac, Liubomir ^{[1
]}

Bobeica, Natalia ^{[1
]}

机构：

[1] Tiraspol State Univ, Dept Math & Comp Sci, Kishinev, Moldova

来源：

TOPOLOGY AND ITS APPLICATIONS | 2023年 / 340卷

关键词：

AG-quasigroup; Topological groupoid; (n; m) -homogeneous isotope; Paramedial topological quasigroups; Open compact; (n m)-identity;

D O I：

10.1016/j.topol.2023.108759

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies some properties of (n, m)-homogeneous isotopies of topological groupoids with (n, m)-identities. The concept of (n, m)-identities was introduced by M.M. Choban and L.L. Chiriac. We extend some statements from the theory of topological groups to the class of topological (n, m)-homogeneous quasigroups. It is shown that if P is an open compact neighborhood of an (1, 2)-identity e of an AG-quasigroups G, then P contains an open compact AG-sub quasigroup Q with (1, 2)-identity e. A new method of constructing non-associative medial and paramedial topological quasigroups is given. We study properties of AG-topological quasigroups and paramedial quasigroups with multiple identities.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：9