On the equivalence of cancellative extensions of commutative cancellative semigroups by groups
Charles V. Heuer · Journal of the Australian Mathematical Society · 1971
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.