Let K be a field of characteristic different from 2. In the algebraic theory of Ž . quadratic forms, one studies the Witt ring W K of equivalence classes of non-den Ž . generate quadratic forms. The Witt ring has a filtration given by the powers I K Ž . n Ž . of the fundamental ideal I K of even-dim
Homological Properties of Powers of the Maximal Ideal of a Local Ring
✍ Scribed by Liana M Şega
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 221 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
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 integers n for which such properties begin to hold.
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