Elementos simétricos sob involuções orientadas em anéis de grupos
Let R be a commutative ring with identity, G be a group and RG be thegroup ring of G over R. Given an orientation of G and ' an involution inG, consider an oriented involution in RG. The main goal of this work is to obtain necessary and suffcient conditions on the ring R and the group G for (RG...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Brasil |
| Institución: | Universidade Federal de Minas Gerais (UFMG) |
| Repositorio: | Repositório Institucional da UFMG |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufmg.br:1843/EABA-8YARRT |
| Acceso en línea: | http://hdl.handle.net/1843/EABA-8YARRT |
| Access Level: | acceso abierto |
| Palabra clave: | Anel de grupo involução orientada elementos simétricos Matemática Aneis (Algebra) Anéis de grupos |
| Sumario: | Let R be a commutative ring with identity, G be a group and RG be thegroup ring of G over R. Given an orientation of G and ' an involution inG, consider an oriented involution in RG. The main goal of this work is to obtain necessary and suffcient conditions on the ring R and the group G for (RG), the set of symmetric elements of RG under the oriented involution , to be commutative. |
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