Generalized GCD rings

Majid M. Ali*, David J. Smith

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

All rings are assumed to be commutative with identity. A generalized GCD ring (G-GCD ring) is a ring (zero-divisors admitted) in which the intersection of every two finitely generated (f.g.) faithful multiplication ideals is a f.g. faithful multiplication ideal. Various properties of G-GCD rings are considered. We generalize some of Jäger's and Lüneburg's results to f.g. faithful multiplication ideals.

Original languageEnglish
Pages (from-to)219-233
Number of pages15
JournalBeitrage zur Algebra und Geometrie
Volume42
Issue number1
Publication statusPublished - 2001

Keywords

  • Greatest common divisor
  • Least common multiple
  • Multiplication ideal
  • Prüfer domain

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Generalized GCD rings'. Together they form a unique fingerprint.

Cite this