A construction of algebras with arbitrary finite global dimensions
β Scribed by Deng, Bangming
- Book ID
- 127122239
- Publisher
- Taylor and Francis Group
- Year
- 1998
- Tongue
- English
- Weight
- 249 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0092-7872
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
It is shown that, given any left artinian ring \(A\) which has vanishing radical cube and \(n\) isomorphism classes of simple left modules, the global dimension of \(A\) is either infinite or bounded above by \(n^{2}-n\), and the left finitistic dimension of \(A\) is always less than or equal to \(n