Quadratic forms associated to stratifying systems
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...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | México |
| Recursos: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1226 |
| Acesso em linha: | http://hdl.handle.net/11154/1226 |
| Access Level: | acceso abierto |
| Palavra-chave: | Mathematics standardly stratified algebras quadratic forms stratifying systems |
| Resumo: | 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. |
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