Localization in ore extensions of commutative noetherian rings
β Scribed by David G Poole
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 645 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Extensions of valuation rings V of a skew field K are considered in the skew Ε½ . field F s K x, for a monomorphism of K. At least two such extensions exist if is an automorphism, but no extension may exist if is a monomorphism only. There exist extensions R Ε½ a. of V in F with xR Ε½ a. s aR Ε½ a. for
R be a filtered ring such that the Rees ring R of R is left Noetherian. It is Ε½ . observed that if T is a left Ore set of the associated graded ring G R consisting of Γ Ε½. 4 homogeneous elements then the saturated set S s s g R, s g T is a left Ore set of R. This lifting property is used to obtain l