Generalized GCD rings IV

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2 Citations (Scopus)

Abstract

All rings are assumed to be commutative with identity. In this paper, we give a sufficient condition for a locally GCD-domain to be a Prufer domain. We also introduce two new classes of rings that are closely related to almost generalized GCD (AGGCD)-domains and almost Prufer domains, namely AGGCD-rings and almost flat rings. We show that the theories of these rings resemble those of AGGCD-domains and almost Prufer domains.

Original languageEnglish
Pages (from-to)371-386
Number of pages16
JournalBeitrage zur Algebra und Geometrie
Volume55
Issue number2
DOIs
Publication statusPublished - Sep 27 2014

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Keywords

  • Almost Prufer domain
  • Almost flat ring
  • Almost GGCD-ring
  • GGCD-domain

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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