On Rees matrix semigroups M ( S ; I ,Λ; P ) over semigroups S in which I is a singleton
Attila Nagy, Csaba Tóth · Communications in Algebra · 2024
Let M(S;Λ;P) denote a Rees I×Λ matrix semigroup over a semigroup S in which I is a singleton. In this paper we describe the right regular representation of M(S;Λ;P), and find connection between properties of S and M(S;Λ;P). We also prove embedding theorems on Rees matrix semigroups M(S;Λ;P).