Modules over commutative semiprime rings
β Scribed by K. I. Beidar
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1981
- Tongue
- English
- Weight
- 126 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let R be a connected commutative ring with identity 1 (R contains no idempotents except 0 and 1), and let M n (R) be the R-module of all n Γ n matrices over R. R is said to be idempotence-diagonalizable if every idempotent matrix over R is similar to a diagonal matrix. For two arbitrary positive int
We introduce and impose conditions under which the finitely generated essential right ideals of E may be classified in terms of k-submodules of M. This yields a classification of the domains Morita equivalent to E when E is a Noetherian domain. For example, a special case of our results is:
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