Applications of stratifying systems to the finitistic dimension

dc.contributor.author	Marcosa, ED
dc.contributor.author	Mendoza, O
dc.contributor.author	Saenz, C
dc.date.accessioned	2011-01-22T10:26:27Z
dc.date.available	2011-01-22T10:26:27Z
dc.date.issued	2006
dc.identifier.issn	0022-4049
dc.identifier.uri	http://hdl.handle.net/11154/1348
dc.description.abstract	Given an Ext-injective stratifying system of A-modules (theta, (Y) over bar, less than or similar to) satisfying that the projective dimension of Y is finite, we prove that the finitistic dimension of the algebra A is equal to the finitistic dimension of the category I(theta) = {X is an element of mod Lambda : Ext(Lambda)(1) (-, X)vertical bar(F(theta)) = 0}. Moreover, using the theory of stratifying systems we obtain bounds for the finitistic dimension of A. In particular, we get the optimal bound 2n - 2 for the finitistic dimension of a standardly stratified algebra with n simples. (c) 2005 Elsevier B.V. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.title	Applications of stratifying systems to the finitistic dimension	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	1458
dc.identifier.doi	10.1016/j.jpaa.2005.07.009
dc.source.novolpages	205(2):393-411
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