Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497146 | Journal of Pure and Applied Algebra | 2005 | 12 Pages |
Abstract
Let D be an integral domain with quotient field K, I a nonzero fractional ideal of D, X a nonempty set of indeterminates over D, and Nv={fâD[X]|(Af)v=D}. In this paper, we show that ID[X]Nvâ©K=Iw; Iw is of finite type if and only if ID[X]Nv is finitely generated; and D is an strong Mori domain (SM-domain) if and only if D[X]Nv is a Noetherian domain. Using these results, we give several Noetherian-like properties of SM-domains.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gyu Whan Chang,