Completions of Noetherian P.I. rings
โ Scribed by Amiram Braun
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 753 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let A be the Artin radical of a Noetherian ring R of global dimension two. We show that A s ReR where e is an idempotent; A contains a heredity chain of ideals and the global dimensions of the rings RrA and eRe cannot exceed two. Assume further than R is a polynomial identity ring. Let P be a minima
We consider a general technique for constructing local Noetherian integral domains. Let R be a semilocal Noetherian domain with Jacobson radical m and U ลฝ . field of fractions K. Let y be a nonzero element of m and let R be the y -adic completion of R. For elements , . . . , g yR U algebraically ind