Generalized GCD rings IV

Majid M. Ali

doi:10.1007/s13366-013-0168-0

Generalized GCD rings IV

Majid M. Ali^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

3 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 language	English
Pages (from-to)	371-386
Number of pages	16
Journal	Beitrage zur Algebra und Geometrie
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s13366-013-0168-0
Publication status	Published - Sept 27 2014

Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s13366-013-0168-0

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AB - 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.

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KW - Almost flat ring

KW - GGCD-domain

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Generalized GCD rings IV

Abstract

Keywords

ASJC Scopus subject areas

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