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Claudia Granados-Pinzón http://orcid.org/0000-0003-0614-3187 Wilson Olaya-León http://orcid.org/0000-0002-5881-1039

Abstract

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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Keywords
Finite-dimensional algebras, sum direct, isomorphism of algebras
How to Cite
GRANADOS-PINZÓN, Claudia; OLAYA-LEÓN, Wilson. Finite dimensional commutative K-algebras with unity. Ingeniería y Ciencia, [S.l.], v. 12, n. 24, p. 31-49, nov. 2016. ISSN 2256-4314. Available at: <http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3336>. Date accessed: 26 apr. 2018. doi: https://doi.org/10.17230/ingciencia.12.24.2.
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