An analogue of Hilbert’s Syzygy Theorem for the algebra of one-sided inverses of a polynomial algebra

DOI10.1090/S0002-9939-2012-11177-3zbMath1281.16011arXiv1006.0455MaRDI QIDQ2845850

Vladimir V. Bavula

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0455

zbMATH Keywords

global dimensionlocalizationshomological dimensionsalgebras of one-sided inverses of polynomial algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Jacobian problem (14R15) Homological dimension in associative algebras (16E10) Associative rings of fractions and localizations (16S85) Centralizing and normalizing extensions (16S20)

Cites Work

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• The global homological dimension of some algebras of differential operators
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• The groups ${\rm K}_1(\mathbb{S}_n,\mathfrak{p})$ of the algebra of one-sided inverses of a polynomial algebra
• On the Dimension of Modules and Algebras (III): Global Dimension
• Noetherian Rings of Finite Global Dimension
• Global Dimension of Differential Operator Rings. II
• On the Dimension of Modules and Algebras, VIII. Dimension of Tensor Products
• Some Remarks on One-Sided Inverses
• Inverses and zero-divisors

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