Abstract
A commutative cancellative idempotent-free semigroup (CCIF-) S can be described in terms of a commutative cancellative semigroup C with identity, an ideal of C, and a function of C × C into integers. If C is an abelian group, S has an archimedean component as an ideal; S is called an ℜ-semigroup. A CCIF-semigroup of finite rank has nontrivial homomorphism into nonnegative real numbers.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 441-456 |
| Number of pages | 16 |
| Journal | Pacific Journal of Mathematics |
| Volume | 61 |
| Issue number | 2 |
| State | Published - 1975 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Hamilton, H. B., Nordahl, T. E., & Tamura, T. (1975). Commutative cancellative semigroups without idempotents. Pacific Journal of Mathematics, 61(2), 441-456.