Existence of Gorenstein projective resolutions and Tate cohomology
نویسندگان
چکیده
منابع مشابه
Existence of Gorenstein Projective Resolutions and Tate Cohomology
Existence of proper Gorenstein projective resolutions and Tate cohomology is proved over rings with a dualizing complex. The proofs are based on Bousfield Localization which is originally a method from algebraic topology.
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We prove that if a positively-graded ring R is Gorenstein and the associated torsion functor has finite cohomological dimension, then the corresponding noncommutative projective scheme Tails(R) is a Gorenstein category in the sense of [10]. Moreover, under this condition, a (right) recollement relating Gorensteininjective sheaves in Tails(R) and (graded) Gorenstein-injective R-modules is given.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2007
ISSN: 1435-9855
DOI: 10.4171/jems/72