Laura string algebras
Representation Theory
2009-07-07 v1
Abstract
We give a simple combinatorial criterion allowing to recognize whether a string (or, more generally, a special biserial) algebra is a laura algebra or not. We also show that a special biserial algebra is laura if and only if it has a finite number of isomorphism classes of indecomposable modules which have projective dimension and injective dimension greater than or equal to two, solving a conjecture ok Skowronski for special biserial algebras.
Keywords
Cite
@article{arxiv.0907.0701,
title = {Laura string algebras},
author = {Julie Dionne},
journal= {arXiv preprint arXiv:0907.0701},
year = {2009}
}
Comments
17 pages