Combinatorial derived invariants for gentle algebras

dc.contributor.author	Avella-Alaminos, D
dc.contributor.author	Geiss, C
dc.date.accessioned	2011-01-22T10:27:07Z
dc.date.available	2011-01-22T10:27:07Z
dc.date.issued	2008
dc.identifier.issn	0022-4049
dc.identifier.uri	http://hdl.handle.net/11154/2262
dc.description.abstract	We define derived equivalent invariants for gentle algebras, constructed in an easy combinatorial way from the quiver with relations defining these algebras. Our invariants consist of pairs of natural numbers and contain important information about the algebra and the structure of the stable Auslander-Reiten quiver of its repetitive algebra. As a by-product we obtain that the number of arrows of the quiver of a gentle algebra is invariant under derived equivalence. Finally, our invariants separate the derived equivalence classes of gentle algebras with at most one cycle. (C) 2007 Elsevier B.V. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.title	Combinatorial derived invariants for gentle algebras	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	1069
dc.identifier.doi	10.1016/j.jpaa.2007.05.014
dc.source.novolpages	212(1):228-243
dc.subject.wos	Mathematics, Applied
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.relation.journal	Journal of Pure and Applied Algebra