Journal article
Anti-archimedean rings and power series rings
Communications in Algebra, Vol.26(10), pp.3223-3238
01/01/1998
DOI: 10.1080/00927879808826338
Abstract
We define an integral domain D to be anti-Archimedean if . For example, a valuation domain or SFT Prüfer domain is anti-Archimedean if and only if it has no height-one prime ideals. A number of constructions and stability results for anti-Archimedean domains are given. We show that D is anti-Archimedean is quasilocal and in this case is actually an n-dimensional regular local ring. We also show that if D is an SFT Prüfer domain, then is a Krull domain for any set of indeterminates {X α }.
Details
- Title: Subtitle
- Anti-archimedean rings and power series rings
- Creators
- D.D Anderson - Department of Mathematics , The University of IowaB.G Kang - Department of Mathematics , Pohang Institute of Science and TechnologyM H Park - Department of Mathematics , Pohang Institute of Science and Technology
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.26(10), pp.3223-3238
- Publisher
- Gordon and Breach Science Publishers Ltd
- DOI
- 10.1080/00927879808826338
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 01/01/1998
- Academic Unit
- Mathematics
- Record Identifier
- 9983985931502771
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