Generating monomials for finite semigroups
Donald Ramsey · Pacific Journal of Mathematics · 1971
In this paper consideration is given semigroups which arise from a group (G, ) by defining a binary operation °on G by the rule x o y = xφyφ for all x, y in G , where φ, ψ are endomorphisms of G.In particular, the structure of such semigroups is determined.Also determined are the structure and number of semigroups that can be defined by x o y -ax s y l for all x, y in G , where (G, ) is a finite abelian group containing α, and s, t are nonnegative integers.