Dualizing complexes and tilting complexes over simple rings.

DOI10.1016/S0021-8693(02)00005-4zbMath1066.16005arXivmath/0110008OpenAlexW1975186053MaRDI QIDQ1858235

Amnon Yekutieli, James J. Zhang

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110008

zbMATH Keywords

dualizing complexestilting complexessimple Goldie ringsshifts of invertible bimodules

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Universal enveloping algebras of Lie algebras (16S30)

Related Items (9)

Homological properties of quantized coordinate rings of semisimple groups ⋮ Singularity categories of deformations of Kleinian singularities ⋮ A Morita Cancellation Problem ⋮ Unruffled extensions and flatness over central subalgebras. ⋮ Projectively simple rings. ⋮ Hopf algebras with rigid dualizing complexes. ⋮ Noncommutative quasi-resolutions ⋮ On the isomorphism problem for the rings of differential operators on smooth affine varieties ⋮ DIFFERENTIAL OPERATORS ON AND THE AFFINE GRASSMANNIAN

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• Derived Equivalences As Derived Functors
• Krull Dimension of Differential Operator Rings

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