Divisorial Ascent in Rings with the Approximation Property
โ Scribed by C. Rotthaus
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 755 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
## Abstract Let __A__ be a commutative Noetherian local ring satisfying the approximation property. This means that any system of polynomial equations over __A__ having a solution in the completion ว has also a solution in __A.__ Then __A__ is proven to admit a dualizing complex.
Let A be a noetherian ring, I an ideal of A contained in its JACOBSON'S radical Red ( A ) This result is a reaffirmation of the above mentioned conjecture (see Remark 2.5). We proof also that.if A' is excellent and A normal, then A' is normal; and we offer some examples regarding the behaviour of