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:
-
Granados-Pinzón, Claudia
Olaya-León, Wilson
- Tipo de recurso:
- Fecha de publicación:
- 2016
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- spa
- 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
- Palabra clave:
- Finite-dimensional algebras
sum direct
isomorphism of algebras
K-Álgebras de dimensión finita
suma directa
Isomorfismos de álgebras
- Rights
- License
- Copyright (c) 2016 Ingeniería y Ciencia | ing.cienc.
| Summary: | 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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