Conditions for commutative semigroups to have nontrivial homomorphisms into nonnegative (positive) reals
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- by Yuji Kobayashi PDF
- Proc. Amer. Math. Soc. 65 (1977), 199-203 Request permission
Abstract:
Let S be a commutative cancellative semigroup of finite rank (the free rank of the quotient group of S is finite). We give a necessary and sufficient condition for S to have a nontrivial homomorphism into the additive semigroup of nonnegative (positive) reals. We also give a counter-example in the case of infinite rank.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 199-203
- MSC: Primary 20M15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0447450-2
- MathSciNet review: 0447450