It is known that the powers ᒊ 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 ª Rrᒊ n are Golod, respectively, small, for all large n. We give effective bounds on the smallest integ
Lengths of Tors Determined by Killing Powers of Ideals in a Local Ring
✍ Scribed by J.Bruce Fields
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 195 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Given a local ring R and n ideals whose sum is primary to the maximal ideal of Ž . R, one may define a function which takes an n-tuple of exponents a , . . . , a to 0 1 2 1 2 although this has not yet proved possible. We are, however, able to establish certain properties of the functions f in some generality. In k
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