SFT stability via power series extension over Prufer domains
SCIE
SCOPUS
- Title
- SFT stability via power series extension over Prufer domains
- Authors
- Kang, BG; Park, MH
- Date Issued
- 2007-03
- Publisher
- SPRINGER
- Abstract
- A ring D is called an SFT ring if for each ideal I of D, there exist a natural number k and a finitely generated ideal J subset of I such that a(k) is an element of J for each a is an element of I. We show that the power series ring D[[x(1),..., x(n)]] over an SFT Prufer domain D is again an SFT ring even if D is infinite-dimensional. From this, it follows that every ideal-adic completion of D is also an SFT ring. We also show that D[[x(1),..., x(n)]](D\(0)) is an n-dimensional regular ring.
- Keywords
- KRULL DIMENSION; RINGS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29508
- DOI
- 10.1007/S00229-007-0
- ISSN
- 0025-2611
- Article Type
- Article
- Citation
- MANUSCRIPTA MATHEMATICA, vol. 122, no. 3, page. 353 - 363, 2007-03
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- There are no files associated with this item.
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