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)

Cite this

@article{a497170fc2aa447f8a2e5aa7bfc950ca,

title = "Commutative cancellative semigroups without idempotents",

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.",

author = "Hamilton, {H. B.} and Nordahl, {Thomas E} and T. Tamura",

year = "1975",

language = "English (US)",

volume = "61",

pages = "441--456",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "2",

}

TY - JOUR

T1 - Commutative cancellative semigroups without idempotents

AU - Hamilton, H. B.

AU - Nordahl, Thomas E

AU - Tamura, T.

PY - 1975

Y1 - 1975

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84972573630&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972573630&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972573630

VL - 61

SP - 441

EP - 456

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 2

ER -

Commutative cancellative semigroups without idempotents

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this