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Completely right pure monoids: the general case

Part of: Semigroups

Published online by Cambridge University Press:  26 February 2010

Victoria A. R. Gould
Affiliation:
Dr. V. A. R. Gould, Department of Mathematics, University of York, Heslington, York, YO1 5DD.
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Extract

A right S-system over a monoid S is a set A on which S acts unitarily on the right. That is, there is a function A such that (φ,1)φ and (a, st)φ = ((a, s) t)φ for all a є A and for all s, t є S. We shall refer to right S-systems simply as S-systems. It is clear what is meant by S-homomorphism, S-subsystem etc.; further details of the terms used in this Introduction are given in Section 2.

Type
Research Article
Copyright
Copyright © University College London 1991

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References

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