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Semigroups under a sandwich operation

Published online by Cambridge University Press:  20 January 2009

J. B. Hickey
J. B. Hickey
Affiliation:
Department of MathematicsUniversity of GlasgowGlasgow, G12 8QW
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For any element a of a semigroup (S,·), we may define a “sandwich” operation ∘ on the set S by x ∘ y = xay (x, y ∈ S). Under this operation the set S is again a semigroup; we denote this semigroup by (S, a) and call it a variant of S. Variants of semigroups of binary relations have been studied by Chase [6, 7]. In this paper we consider variants of arbitrary semigroups.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 3 , October 1983 , pp. 371 - 382
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

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