Two conjectures in the homology of local rings
β Scribed by Gerson Levin
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 752 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is known that the powers α n of the maximal ideal of a local Noetherian ring share certain homological properties for all sufficiently large integers n. For example, the natural homomorphisms R Βͺ Rrα n are Golod, respectively, small, for all large n. We give effective bounds on the smallest integ
## Abstract Let __K__ be the quotient field of a 2βdimensional regular local ring (__R, m__) and let __v__ be a prime divisor of __R__, i.e., a valuation of __K__ birationally dominating __R__ which is residually transcendental over __R__. Zariski showed that: such prime divisor __v__ is uniquely a