Quasigroups and Related Systems
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.
Biyogmam, G. R., Tchamna, S., & Tcheka, C. (2020). From quotient trigroups to groups. Quasigroups and Related Systems, 28(1), 29-41.