Internal Duality for Resolution of Rings
β Scribed by H.E.A. Campbell; J.C. Harris; D.L. Wehlau
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 262 KB
- Volume
- 215
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Cohomology rings of finite groups have strong duality properties, as shown by w x w x Benson and Carlson 4 and Greenlees 16 . We prove here that cohomology rings of virtual duality groups have a ring theoretic duality property, which combines the duality properties of finite groups with the cohomolo
Let S = k x 1 x n be a polynomial ring, and let Ο S be its canonical module. First, we will define squarefreeness for n -graded S-modules. A Stanley-Reisner ring k = S/I , its syzygy module Syz i k , and Ext i S k Ο S are always squarefree. This notion will simplify some standard arguments in the S
A simplicial complex 2 on the vertex set V=[x 1 , x 2 , ..., x v ] is a collection of subsets of V such that (i) Let H i (2; k) denote the ith reduced simplicial homology group of 2 with the coefficient field k. Note that H &1 (2; k)=0 if 2{[<], H &1 ([<]; k)$k, and H i ([<]; k)=0 for each i 0. We