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The quotient semigroup of a semigroup that is a semilattice of groups†

Published online by Cambridge University Press:  18 May 2009

F. R. McMorris
F. R. McMorris
Affiliation:
Bowling Green State University, Bowling Green, Ohio 43402
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Let Q(S) denote the maximal right quotient semigroup of the semigroup S as defined in [4]. In this paper, we initiate a study of Q(S) when S is a semilattice of groups. A structure theorem for such semigroups is given by Theorem 4.11 of [2].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 1 , April 1971 , pp. 18 - 23
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

REFERENCES

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3.Lambek, J., Lectures on rings and modules (Blaisdell, 1966).Google Scholar
4.McMorris, F. R., On quotient semigroups; submitted.Google Scholar
5.Utumi, Y., On quotient rings, Osaka Math. J. 8 (1956), 1–18.Google Scholar