On the strong injective (projective) dimension of modules
β Scribed by Zoltan Papp
- Book ID
- 112502153
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 418 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In [K. R. Fuller, on indecomposable injectives over artinian rings, Pacific J. Math. 29 (1969), 115-135, Theorem 3.1] K. R. Fuller gave necessary and sufficient conditions for projective left modules to be injective over a left artinian ring. In [Y. Baba and K. Oshiro, On a theorem of Fuller, prepri
Let a region 0 of the euclidean space R d (d 1) be decomposed as a polyhedral complex g, and let S r (g) denote the set of all multivariate c r -splines on g. Then, with pointwise operations, the set S r (g) turns out to be a finitely generated torsion free module over the ring R=R[x 1 , ..., x d ]
## Abstract Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote $$\mathcal{L}\_A$$ to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most