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Noncommutative elementary divisor rings

✍ 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

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πŸ“œ SIMILAR VOLUMES


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✍ Dennis S. Keeler πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 137 KB

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

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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

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✍ Q.-S Wu; J.J Zhang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 137 KB

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.