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Generating monomials
for finite semigroups
Donald C. Ramsey |
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Vol. 39 (1971), No. 3, 783–794
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Abstract |
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In this paper consideration is given semigroups which arise from a group (G,⋅) by defining a binary operation ∘ on G by the rule x∘y = 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 x∘y = 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
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Milestones
Received: 23 October 1970
Published: 1 December 1971
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Authors |
| Donald C. Ramsey | |
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