Commutative cancellative semigroups without idempotents

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

Research output: Contribution to journalArticle

9 Scopus citations

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 languageEnglish (US)
Pages (from-to)441-456
Number of pages16
JournalPacific Journal of Mathematics
Volume61
Issue number2
StatePublished - 1975
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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