Document Type

Article

Publication Date

2020

Publication Title

Quasigroups and Related Systems

Abstract

In this paper, we study the notion of normality in the category of trigroups, and construct quotient trigroups. This allows us to establish analogues for trigroups of some useful results on groups, namely, the first, second and third isomorphism theorems as well as some of their related corollaries. Our construction provides a new functorial link between the categories of groups and trigroups.

Department

Mathematics

Volume Number

28

Issue Number

1

First Page

29

Last Page

41

Comments

© 2020, Institute of Mathematics, Academy of Sciences Moldova. All rights reserved.

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