Separativity of modules with finite exchange property
โ Scribed by Huanyin Chen; Fuan Li
- Publisher
- SP Science China Press
- Year
- 2000
- Tongue
- English
- Weight
- 582 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An R-module M is called an extending module, and also called CS, if it satisfies the following full extending property: For any submodule X of M, there exists a direct summand X \* of M, which is an essential extension of X. The concept of this module is a notable property of injective modules, quas
A new homological dimension, called G \* -dimension, is defined for every finitely generated module M over a local noetherian ring R. It is modeled on the CI-dimension of Avramov, Gasharov, and Peeva and has parallel properties. In particular, a ring R is Gorenstein if and only if every finitely gen