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) |
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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)