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Maximal homomorphic images of commutative semigroups

Published online by Cambridge University Press:  18 May 2009

D. B. McAlister  and
L. O'Carroll
D. B. McAlister
Affiliation:
Department of Mathematics, Northern Illinois University, De Kalb, Illinois, 60115, U.S.A.
L. O'Carroll
Affiliation:
Department of Mathematics, Northern Illinois University, De Kalb, Illinois, 60115, U.S.A.
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In this paper we give necessary and sufficient conditions on a commutative semigroup in order that it should have a maximal homomorphic image of one of the following types: (1) groups, (2) semigroups which are unions of groups and (3) pseudoinvertible semigroups, i. e. semigroups having the property that some power of each element lies in a subgroup of the semigroup.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 1 , April 1971 , pp. 12 - 17
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

REFERENCES

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