Commutative cancellative semigroups without idempotents

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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

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Idempotent
Semigroup
Free Semigroup
Finite Rank
Homomorphism
Abelian group
Non-negative
Integer

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Commutative cancellative semigroups without idempotents. / Hamilton, H. B.; Nordahl, Thomas E; Tamura, T.

In: Pacific Journal of Mathematics, Vol. 61, No. 2, 1975, p. 441-456.

Research output: Contribution to journalArticle

Hamilton, H. B. ; Nordahl, Thomas E ; Tamura, T. / Commutative cancellative semigroups without idempotents. In: Pacific Journal of Mathematics. 1975 ; Vol. 61, No. 2. pp. 441-456.
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