Abstract

GRANADOS-PINZON, Claudia  and  OLAYA-LEON, Wilson. Finite Dimensional Commutative K−algebras with Unity. ing.cienc. [online]. 2016, vol.12, n.24, pp.31-49. ISSN 1794-9165.  https://doi.org/10.17230/ingciencia.12.24.2.

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 , show that certain finite K−álgebras are isomorphic and discompose the finite K−algebra in local finite K−algebras.

Keywords : Finite-dimensional algebras; sum direct; isomorphism of algebras.

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