On the Relative Socle for Stratifying Systems
Let A be a finite dimensional k-algebra, (, ) be a stratifying system in mod(A) and F() be the class of -filtered A-modules. In this article, we give the definition and also study some of the properties of the relative socle in F(). We approach the relative socle in three ways. Namely, we view it as...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| 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:11154/837 |
| Acesso em linha: | http://hdl.handle.net/11154/13982737 |
| Access Level: | acceso abierto |
| Palavra-chave: | Mathematics Standardly stratified algebras Stratifying systems |
| Resumo: | Let A be a finite dimensional k-algebra, (, ) be a stratifying system in mod(A) and F() be the class of -filtered A-modules. In this article, we give the definition and also study some of the properties of the relative socle in F(). We approach the relative socle in three ways. Namely, we view it as (1) a -semisimple subobject of M having the largest -length, (2) a maximal -semisimple subobject of M, and (3) a minimal -essential subobject of M. |
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