Finite dimensional commutative K-algebras with unity
This paper is devoted to the study of finite K-algebras i.e. the commutative K-algebras with unity that are finite dimensional vector space over a field K. A finite K-álgebra is direct sum of local finite K-algebras. We obtain a characterization of the local finite K-algebra K[x]/(f(x)) , show that...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | Colombia |
| Institución: | Universidad EAFIT |
| Repositorio: | Repositorio EAFIT |
| Idioma: | español |
| OAI Identifier: | oai:repository.eafit.edu.co:10784/11291 |
| Acceso en línea: | http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3336 http://hdl.handle.net/10784/11291 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite-dimensional algebras sum direct isomorphism of algebras K-Álgebras de dimensión finita suma directa Isomorfismos de álgebras |
| Sumario: | This paper is devoted to the study of finite K-algebras i.e. the commutative K-algebras with unity that are finite dimensional vector space over a field K. A finite K-álgebra is direct sum of local finite K-algebras. We obtain a characterization of the local finite K-algebra K[x]/(f(x)) , show that certain finite K-álgebras are isomorphic and discompose the finite K-algebra K[x]/(f(x)) in local finite K-algebras. |
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