Journal article
Almost Bezout domains, III
Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Vol.51 (1), pp.3-9
2008
Abstract
An integral domain R is an almost Bezout domain (respectively, almost valuation domain) if for each pair a,b ∈ R\{0}, there is a positive integer n = n(a,b) such that (an,bn) is principal (respectively, an | bn or bn | an). We show that a finite intersection of almost valuation domains with the same quotient field is an almost Bezout domain. This generalizes the result that a finite intersection of valuation domains with the same quotient field is a Bezout domain. We use our work to give a new characterization of Cohen-Kaplansky domains.
Details
- Title: Subtitle
- Almost Bezout domains, III
- Creators
- D.D. AndersonM. Zafrullah
- Resource Type
- Journal article
- Publication Details
- Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Vol.51 (1), pp.3-9
- ISSN
- 1220-3874
- Language
- English
- Date published
- 2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984230626902771
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