Noncommutative Gorenstein Projective Schemes and Gorenstein-Injective Sheaves

Details Noncommutative Gorenstein Projective Schemes and Gorenstein-Injective Sheaves Noncommutative Gorenstein Projective Schemes and Gorenstein-Injective Sheaves

2008-04-07

arxiv.org/abs/0804.1015v1

Mathematics

Rings and Algebras

Comments are welcome

Scientific paper

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 ${\rm Tails}(R)$ is a Gorenstein category in the sense of \cite{EEG}. Moreover, under this condition, a (right) recollement relating Gorenstein-injective sheaves in ${\rm Tails}(R)$ and (graded) Gorenstein-injective $R$-modules is given.

Affiliated with

Also associated with

No associations

Rating

Noncommutative Gorenstein Projective Schemes and Gorenstein-Injective Sheaves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noncommutative Gorenstein Projective Schemes and Gorenstein-Injective Sheaves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Gorenstein Projective Schemes and Gorenstein-Injective Sheaves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729897