Relaciones entre los grupos de brauer de anillos conmutativos y ciertos anillos cocientes
Let S be a commutative R-algebra, R a commutative ring, then the application of R-algebras At → A ⨂RS induces a homomorphism Br(R) → Br(S) between the Brauer groups of R and S, respectively. It is known that the homomorphism Br(R) →Br(R/m) is an isomorphism when R is a complete local ring with maxim...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1983 |
| País: | Colombia |
| Recursos: | Universidad Nacional de Colombia |
| Repositorio: | Repositorio UN |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/42784 |
| Acesso em linha: | https://repositorio.unal.edu.co/handle/unal/42784 http://bdigital.unal.edu.co/32881/ |
| Access Level: | acceso abierto |
| Palavra-chave: | Commutative ring homomorphism Brauer groups isomorphism Jacobson radical / Conmutativa anillo homomorfismo grupos Brauer isomorfismo Jacobson radical |
| Resumo: | Let S be a commutative R-algebra, R a commutative ring, then the application of R-algebras At → A ⨂RS induces a homomorphism Br(R) → Br(S) between the Brauer groups of R and S, respectively. It is known that the homomorphism Br(R) →Br(R/m) is an isomorphism when R is a complete local ring with maximal ideal m. This article shows that Br(R) → Br(R/I) is an isomorphism whenever I is a nil-ideal and also when I is contained in the Jacobson radical of R and R is complete in the I-adic topology. |
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