Embedding Rings with Krull Dimension in Artinian Rings
✍ Scribed by Alfred Goldie; Günter Krause
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 159 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 .
dedicated to professor rüdiger göbel 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 <ω 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
## Ž . and Nastasescu 1981, Comm. Algebra 9, 1395᎐1426 give information about rings ˘that have Krull dimension or are noetherian relative to a torsion theory. The aim of this paper is to extend these results to rings R having relative Krull dimension with respect to a hereditary torsion theory on