Weak Subintegrality and Invertible Modules in Graded Rings
β Scribed by Leslie G Roberts; Balwant Singh
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 130 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that the isomorphism ΞΆ B/A B/A β A B introduced by the second author for a subintegral extension A β B of positively graded rings with A 0 = B 0 is also an isomorphism if A β B is only a weakly subintegral extension.
π SIMILAR VOLUMES
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
there exists a cardinal c with the property, that if every c-generated right R-module embeds in a free module, then R is QF. However, Menal Ε½ .
Let A be an algebra over a commutative ring R. If R is noetherian and A β’ is pure in R A , then the categories of rational left A-modules and right A β’ -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con