Finitistic and Representation Dimensions

Details Finitistic and Representation Dimensions Finitistic and Representation Dimensions

2008-03-24

arxiv.org/abs/0803.3364v3

Mathematics

Representation Theory

8 pages; correct an error

Scientific paper

We prove that the finitistic dimension conjecture, the Gorenstein Symmetry Conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for artin algebras which can be realized as endomorphism algebras of modules over representation-finite algebras. Note it is a question whether or not all artin algebras have such realizations. It was also shown that if every quasi-hereditary algebras has a left idealized extension which is a monomial algebra or an algebra whose representation dimension is not more than 3, then the finitistic dimension conjecture holds.

Affiliated with

Also associated with

No associations

Rating

Finitistic and Representation Dimensions 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 Finitistic and Representation Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finitistic and Representation Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615297