Right regular triples of semigroups
Csaba Tóth · Quasigroups and Related Systems · 2024
Let M(S; Λ; P) denote a Rees I × Λ matrix semigroup without zero over a semigroup S, where I is a singleton. If θS denotes the kernel of the right regular representation of a semigroup S, then a triple A, B, C of semigroups is said to be right regular, if there are mappings A P←− B and B P 0 −→ C such that M(A; B; P)/θM(A;B;P ) ∼= M(C; B; P 0 ). In this paper we examine right regular triples of semigroups.