Noncommutative rational double points

DOI10.1006/JABR.2000.8419zbMath0974.16022OpenAlexW2007351851MaRDI QIDQ5925820

Chan, Daniel

Publication date: 10 September 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8419

zbMATH Keywords

Cohen-Macaulay singularitiescyclic quotient singularitiesdualizing complexesGorenstein singularitieslocal dualitiesnoncommutative regular ringsrational double pointsrings of invariants

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rings arising from noncommutative algebraic geometry (16S38) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60)

Related Items (2)

Dualizing complexes over noncommutative local rings ⋮ Symmetry theorems for Ext vanishing

Cites Work

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• Noncommutative projective schemes
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Semiprime graded algebras of dimension two
• The residue complex of a noncommutative graded algebra
• Rational Singularities and Almost Split Sequences
• Some properties of non-commutative regular graded rings
• The Baire Category Property and Some Notions of Compactness
• Des catégories abéliennes

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