Radicals of Contracted Graded Rings
โ Scribed by A.V. Kelarev
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 386 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
fect or the grading of R is simpler e.g., R is a crossed product or a skew . group ring . We apply our solution of Problem A to the study of a more concrete problem: Problem B. Characterize semisimple strongly G-graded rings.
Let I be an แ-primary ideal in a Buchsbaum local ring A, แ . In this paper, we investigate the Buchsbaum property of the associated graded ring of I when the equality I 2 s แ I holds for some minimal reduction แ of I. However, the Buchsbaum property does not always follow even if I 2 s แ I. So we gi
This paper studies the question of when the associated graded ring I = nโฅ0 I n /I n+1 of a certain ideal I in a local ring is Gorenstein. The main result implies, for example, that if A is a regular local ring, is a prime ideal in A with dim A/ = 2, and A/ is a complete intersection in codimension o