Stable ideals in Gorenstein local rings
β Scribed by Akira Ooishi
- Book ID
- 107816530
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 438 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
This paper studies the question of when the associated graded ring I = nβ₯0 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
Let A be a finitely generated module over a (Noetherian) local ring R M . We say that a nonzero submodule B of A is basically full in A if no minimal basis for B can be extended to a minimal basis of any submodule of A properly containing B. We prove that a basically full submodule of A is M-primary