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Clifford semigroups of left quotients

Published online by Cambridge University Press:  18 May 2009

Victoria Gould
Victoria Gould
Affiliation:
University of York
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Several definitions of a semigroup of quotients have been proposed and studied by a number of authors. For a survey, the reader may consult Weinert's paper [8]. The motivation for many of these concepts comes from ring theory and the various notions of rings of quotients. We are concerned in this paper with an analogue of the classical ring of quotients, introduced by Fountain and Petrich in [3].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 28 , Issue 2 , July 1986 , pp. 181 - 191
Copyright
Copyright © Glasgow Mathematical Journal Trust 1986

References

REFERENCES

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3.Fountain, J. B. and Petrich, M., Completely 0-simple semigroups of quotients, J. Algebra, to appear.Google Scholar
4.Gould, V. A. R., Absolutely flat completely 0-simple semigroups of left quotients, submitted.Google Scholar
5.Howie, J. M., An introduction to semigroup theory (Academic Press, 1976).Google Scholar
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8.Weinert, H. J., S-sets and semigroups of quotients, Semigroup Forum 19 (1980), 1–78.CrossRefGoogle Scholar