Numerical invariants which measure the Cohen Macaulay character of homomorphisms .: R Ä S of noetherian rings are introduced and studied. Comprehensive results are obtained for homomorphisms which are locally of finite flat dimension. They provide a point of view from which a variety of phenomena re
Cohen-Macaulay properties of the Koszul homology
✍ Scribed by Herbert Sanders
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 463 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0025-2611
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For a large class of local homomorphisms : R ª S, including those of finite w Ž . G-dimension studied by Avramov and Foxby Proc. London Math. Soc. 75 1997 , x 241᎐270 , we assign a new numerical invariant called the quasi Cohen᎐Macaulay defect of , and a local homomorphism is called quasi Cohen᎐Maca
If V is a faithful module for a finite group G over a field of characteristic p, then the ring of invariants need not be Cohen᎐Macaulay if p divides the order of G. In this article the cohomology of G is used to study the question of Cohen᎐Macaulayness of the invariant ring. One of the results is a