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Title: | Quadratic forms associated to stratifying systems |
Authors: | Marcos, EDN Mendoza, O Saenz, C Zuazua Vega, Rita Esther |
Issue Date: | 2006 |
Abstract: | Let R be an algebra, and let (theta, <=) be a stratifying system of R-modules. If the category) F(theta) is theta-directing, then we prove that ind F(theta) is finite. In order to do that, we introduce a quadratic form q(theta) which depends on theta. Moreover, we also give sufficient conditions to get the correspondence X -> dim(theta)X from ind F(theta) to the set of positive roots of q(theta). (c) 2006 Elsevier Inc. All rights reserved. |
URI: | http://hdl.handle.net/11154/1226 |
ISSN: | 0021-8693 |
Appears in Collections: | Matemáticas
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