Embeddings in Free Modules and Artinian Rings
✍ Scribed by José L. Gómez Pardo; Pedro A. Guil Asensio
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 195 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
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 Ž .
📜 SIMILAR VOLUMES
We show that the isomorphism ζ B/A B/A → A B introduced by the second author for a subintegral extension A ⊆ B of positively graded rings with A 0 = B 0 is also an isomorphism if A ⊆ B is only a weakly subintegral extension.
Let A be an algebra over a commutative ring R. If R is noetherian and A • is pure in R A , then the categories of rational left A-modules and right A • -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con