Finite dimensional commutative K-algebras with unity

Claudia Granados-Pinzón, Wilson Olaya-León

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.


Keywords


Finite-dimensional algebras, sum direct, isomorphism of algebras

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DOI: http://dx.doi.org/10.17230/ingciencia.12.24.2

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