Noncommutative elementary divisor rings
β Scribed by A. I. Gatalevich; B. V. Zabavs'kii
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 250 KB
- Volume
- 96
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The twisted homogeneous coordinate ring is one of the basic constructions of the noncommutative projective geometry of Artin, Van den Bergh, and others. Chan generalized this construction to the multi-homogeneous case, using a concept of right ampleness for a finite collection of invertible sheaves
Let A be an n X n matrix over a field of characteristic 2. If n is odd, then A is similar to an s-symmetric matrix (one symmetric around the diagonal from lower left to upper right). If n is even, this holds iff the elementary divisors of A that are odd powers of separable polynomials occur with eve
The Auslander-Buchsbaum formula and Bass's theorem are proved for a class of nonlocal, noncommutative algebras (including certain affine PI Hopf algebras). We also show that each filtered noetherian affine PI Hopf algebra has finite injective dimension, which partially answers a question of Brown.