Vol. 39, No. 3, 1971

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Generating monomials for finite semigroups

Donald C. Ramsey

Vol. 39 (1971), No. 3, 783–794

In this paper consideration is given semigroups which arise from a group (G,) by defining a binary operation on G by the rule xy = xϕyψ 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 xy = axsyt for all x,y in G, where (G,) is a finite abelian group containing a, and s,t are nonnegative integers.

Mathematical Subject Classification 2000
Primary: 20M05
Received: 23 October 1970
Published: 1 December 1971
Donald C. Ramsey