Laura string algebras

Details Laura string algebras Laura string algebras

2009-07-03

arxiv.org/abs/0907.0701v1

Mathematics

Representation Theory

17 pages

Scientific paper

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.

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