Abstract:
Loday and Ronco introduced the notion of a trioid and constructed the free trioid of rank 1. This paper is devoted to the study of congruences on trioids. We characterize the least dimonoid congruences and the least semigroup congruence on the free (commutative, rectangular) trioid.
Description:
Zhuchok A. V. Certain congruences on free trioids / A. V. Zhuchok, Y. V. Zhuchok, Y. V. Zhuchok // Communications in Algebra. - 2019. - VOL. 47. - NO. 12. - Р. 5471–5481.
