A note on t-SFT-rings
SCIE
SCOPUS
- Title
- A note on t-SFT-rings
- Authors
- Kang, BG; Park, MH
- Date Issued
- 2006-01
- Publisher
- TAYLOR & FRANCIS INC
- Abstract
- We define a nonzero ideal Lambda of an integral domain R to be a t-SFT-ideal if there exist a finitely generated ideal B subset of A and a positive integer k such that a(k) epsilon B-v for each a epsilon A(t,) and a domain R to be a t-SFT-ring if each nonzero ideal of R is a t-SFT-ideal. This article presents a number of basic properties and stability results for t-SFT-rings. We show that an integral domain R is a Krull domain if and only if R is a completely integrally closed t-SFT-ring; for an integrally closed domain R, R is a t-SFT-ring if and only if R[X] is a t-SFT-ring; if R is a t-SFT-domain, then R[[X]]. We also give an example of a t-SFT v-multiplication domain R such that t-dim R [[X]] > t-dim R.
- Keywords
- power series ring; t-dimension; t-SFT-ideal; t-SFT-ring; POWER-SERIES RINGS; INTEGRAL-DOMAINS; KRULL DIMENSION; DIVISORIAL; IDEAL
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29588
- DOI
- 10.1080/00927870600639476
- ISSN
- 0092-7872
- Article Type
- Article
- Citation
- COMMUNICATIONS IN ALGEBRA, vol. 34, no. 9, page. 3153 - 3165, 2006-01
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