Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771831 | Journal of Algebra | 2017 | 32 Pages |
Abstract
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjective algebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ibrahim Assem, Andrzej SkowroÅski, Sonia Trepode,