Homological aspects of semidualizing modules

Details Homological aspects of semidualizing modules Homological aspects of semidualizing modules

2007-03-21

arxiv.org/abs/math/0703643v4

Mathematics

Commutative Algebra

14 pages, final version, minor correction to last question, to appear in Math. Scand

Scientific paper

We investigate the notion of the C-projective dimension of a module, where C is a semidualizing module. When C=R, this recovers the standard projective dimension. We show that three natural definitions of finite C-projective dimension agree, and investigate the relationship between relative cohomology modules and absolute cohomology modules in this setting. Finally, we prove several results that demonstrate the deep connections between modules of finite projective dimension and modules of finite C-projective dimension. In parallel, we develop the dual theory for injective dimension and C-injective dimension.

Affiliated with

Also associated with

No associations

Rating

Homological aspects of semidualizing modules 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 Homological aspects of semidualizing modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homological aspects of semidualizing modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-382771