Foxby equivalence over associative rings

Details Foxby equivalence over associative rings Foxby equivalence over associative rings

2006-11-27

arxiv.org/abs/math/0611838v1

Mathematics

Commutative Algebra

24 pages

Scientific paper

We extend the definition of a semidualizing module to associative rings. This enables us to define and study Auslander and Bass classes with respect to a semidualizing bimodule C. We then study the classes of C-flats, C-projectives, and C-injectives, and use them to provide a characterization of the modules in the Auslander and Bass classes. We extend Foxby equivalence to this new setting. This paper contains a few results which are new in the commutative, noetherian setting.

Affiliated with

Also associated with

No associations

Rating

Foxby equivalence over associative 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 Foxby equivalence over associative rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Foxby equivalence over associative rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350690