A note on liberal extensions with automorphisms
We consider a ring R, a liberal extension S of R, a group G whose elements act as R-automorphisms on the ring Sand 196 an intermediate extension T of R such that aCT) = T for all a E G. It is shown that an ideal Q of T is a G-prime ideal (resp. G-primitive ideal) if and only if Q is the maximum G-su...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1986 |
| País: | Brasil |
| Recursos: | Universidade Federal do Rio Grande do Sul (UFRGS) |
| Repositorio: | Repositório Institucional da UFRGS |
| Idioma: | inglés |
| OAI Identifier: | oai:www.lume.ufrgs.br:10183/224387 |
| Acesso em linha: | http://hdl.handle.net/10183/224387 |
| Access Level: | acceso abierto |
| Palavra-chave: | Ideais primos Extensao de aneis : Aneis de jacobson : Automorfismo |
| Resumo: | We consider a ring R, a liberal extension S of R, a group G whose elements act as R-automorphisms on the ring Sand 196 an intermediate extension T of R such that aCT) = T for all a E G. It is shown that an ideal Q of T is a G-prime ideal (resp. G-primitive ideal) if and only if Q is the maximum G-subideal of a prime (resp. primitive) ideal of T. |
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