Structure of Projectively Stable Artinian Rings
β Scribed by Shashidhar Jagadeeshan; Mark Kleiner
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 366 KB
- Volume
- 197
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A module M is called a CS-module if every submodule of M is essential in a direct summand of M. A ring R is called CS-semisimple if every right R-module is CS. For a ring R, we show that: Ε½ . 1 R is right artinian with Jacobson radical cube zero if every countably generated right R-module is a dire
dedicated to professor rΓΌdiger gΓΆbel on his 60th birthday Let R be a ring and let simp-R be a representative set of all simple (right R-) modules. Denote by <Ο the class of all modules which are finitely generated and have finite projective dimension. The little finitistic dimension of R is defined
In this note we prove that for a left artinian ring of infinite global dimension there exists an indecomposable left module with both infinite projective dimension and infinite injective dimension.  2002 Elsevier Science (USA) The purpose of this note is to prove the following theorem motivated by