The SFT property and the ring R((X))
SCIE
SCOPUS
- Title
- The SFT property and the ring R((X))
- Authors
- Elaoud, S; Kang, BG
- Date Issued
- 2006-02
- Publisher
- ELSEVIER SCIENCE BV
- Abstract
- An ideal I is called,in SFT-ideal if there exist a natural number n and a finitely generated ideal J subset of I such that x(n) is an element of J for each x is an element of I. An SFT-ring is a ring such that every ideal is an ideal SFT-ideal. For a commutative ring D, let D((X)) he the power series ring D parallel to X parallel to localized at the power series with unit content ideal. We. show that fora Prufer domain D, all the prime ideals of D((X),) are formally extended from D if and only if D((X)) is SFT if and only if D is SFT. (c) 2005 Elsevier B.V. All rights reserved.
- Keywords
- POWER-SERIES RINGS; DIMENSION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29525
- DOI
- 10.1016/J.PAA.2005.0
- ISSN
- 0022-4049
- Article Type
- Article
- Citation
- JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 204, no. 2, page. 270 - 279, 2006-02
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