Universal coefficient theorem in triangulated categories
We consider a homology theory Open image in new window on a triangulated category Open image in new window with values in an abelian category Open image in new window . If the functor h reflects isomorphisms, is full and is such that for any object x in Open image in new window there is an object X...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2008 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/79648 |
| Acceso en línea: | http://hdl.handle.net/11336/79648 |
| Access Level: | acceso abierto |
| Palabra clave: | ABELIAN CATEGORY HOMOLOGY THEORY TRIANGULATED CATEGORY https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We consider a homology theory Open image in new window on a triangulated category Open image in new window with values in an abelian category Open image in new window . If the functor h reflects isomorphisms, is full and is such that for any object x in Open image in new window there is an object X in Open image in new window with an isomorphism between h(X) and x, we prove that Open image in new window is a hereditary abelian category, all idempotents in Open image in new window split and the kernel of h is a square zero ideal which as a bifunctor on Open image in new window is isomorphic to Open image in new window. |
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