Let I be an α-primary ideal in a Buchsbaum local ring A, α . In this paper, we investigate the Buchsbaum property of the associated graded ring of I when the equality I 2 s α I holds for some minimal reduction α of I. However, the Buchsbaum property does not always follow even if I 2 s α I. So we gi
Strongly Graded Rings with the Bounded Splitting Property
β Scribed by Mark L. Teply; Blas Torrecillas
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 182 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper all rings R are associative with identity and all R-modules are unital, and the category of all left R-modules will be denoted by R-Mod. If G is a group and R s [ R is a graded ring, we say that R g g g G
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