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On the equivalence of cancellative extensions of commutative cancellative semigroups by groups

Published online by Cambridge University Press:  09 April 2009

Charles V. Heuer
Charles V. Heuer
Affiliation:
Concordia CollegeMoorhead, Minnesota
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In [1] D. W. Miller and the author established necessary and sufficient conditions for the existence of a cancellative (ideal) extension of a commutative cancellative semigroup by a cyclic group with zero. The purpose of this paper is to extend these results to cancellative extensions by any finitely generated Abelian group with zero and to establish in this general case conditions under which two such extensions are equivalent.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 2 , May 1971 , pp. 187 - 192
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Heuer, Charles V. and Miller, Donald W., ‘An extension problem for cancellative semigroups’, Trans. Amer. Math. Soc. 122 (1966), 499–515.CrossRefGoogle Scholar