Reflexivity and rigidity for complexes. I. Commutative rings

Details Reflexivity and rigidity for complexes. I. Commutative rings Reflexivity and rigidity for complexes. I. Commutative rings

2009-04-29

arxiv.org/abs/0904.4695v2

Mathematics

Commutative Algebra

31 pages. Major revisions in Sections 1 and 6. To appear in `Algebra and Number Theory'

Scientific paper

A notion of rigidity with respect to an arbitrary semidualizing complex C over a commutative noetherian ring R is introduced and studied. One of the main result characterizes C-rigid complexes. Specialized to the case when C is the relative dualizing complex of a homomorphism of rings of finite Gorenstein dimension, it leads to broad generalizations of theorems of Yekutieli and Zhang concerning rigid dualizing complexes, in the sense of Van den Bergh. Along the way, a number of new results concerning derived reflexivity with respect to C are established. Noteworthy is the statement that derived C-reflexivity is a local property; it implies that a finite R-module M has finite G-dimension over R if it is locally of finite G-dimension.

Affiliated with

Also associated with

No associations

Rating

Reflexivity and rigidity for complexes. I. Commutative rings 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 Reflexivity and rigidity for complexes. I. Commutative rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reflexivity and rigidity for complexes. I. Commutative rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442329