Abstract
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 ) .
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