✦ LIBER ✦
Some Remarks on Artin's Approximation Property in the Nonlocal Case and Excellent Henselian Rings
✍ Scribed by Mario Estrada
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 498 KB
- Volume
- 143
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
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 direct limits of excellent henselian rings. We consider lastly the problem about the factoriality of A' when A is a factorial ring.
This paper is a continuation of ,,Ringe mit Approximationseigenschaft. Einige Bemerkungen und Anwendungen der Aamschen Vermutung" [3].