Commutative cancellative semigroups without idempotents

H. B. Hamilton; Thomas E Nordahl; T. Tamura

Commutative cancellative semigroups without idempotents

H. B. Hamilton, Thomas E Nordahl, T. Tamura

Research output: Contribution to journal › Article › peer-review

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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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.",

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