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Finitely generated commutative semigroups

Published online by Cambridge University Press:  18 May 2009

D. B. McAlister
Affiliation:
Northern Illinois University, De Kalb, Illinois 60115, U.S.A.
L. O'Carroll
Affiliation:
Northern Illinois University, De Kalb, Illinois 60115, U.S.A.
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Since all the semigroups considered in this paper are commutative, we shall use the terms “semigroup” and “group” where we actually mean “commutative semigroup” and “commutative group”. Some basic results from the theory of semigroups are required and will be used without explicit mention; these results may be found in [1, § 4.3]. We shall denote the additive semigroups of integers, positive integers, negative integers, positive rationals by Z, Z+, Z-, Q+ respectively.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

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