Journal article
Almost Bézout domains
Journal of algebra, Vol.142(2), pp.285-309
1991
DOI: 10.1016/0021-8693(91)90309-V
Abstract
An integral domain R is said to be an almost Bézout domain (respectively, almost GCD-domain) if for x , y ϵ R − {0}, there exists an n with ( x n , y n ) (respectively, ( x n , y n ) v ) principal. In this paper we continue the investigation of AGCD-domains begun by the second author and introduce the notion of an almost Bézout domain. We show that R is an almost Bézout domain if and only if R ̄ , the integral closure of R , is a Prüfer domain with torsion class group and for every x ϵ R ̄ , there exists an n with xsn ϵ R .
Details
- Title: Subtitle
- Almost Bézout domains
- Creators
- D. D AndersonM Zafrullah
- Resource Type
- Journal article
- Publication Details
- Journal of algebra, Vol.142(2), pp.285-309
- DOI
- 10.1016/0021-8693(91)90309-V
- ISSN
- 0021-8693
- eISSN
- 1090-266X
- Language
- English
- Date published
- 1991
- Academic Unit
- Mathematics
- Record Identifier
- 9983986000302771
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