Finite dimensional commutative K-algebras with unity

Authors

DOI:

https://doi.org/10.17230/ingciencia.12.24.2

Keywords:

Finite-dimensional algebras, sum direct, isomorphism of algebras

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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Author Biographies

  • Claudia Granados-Pinzón, Universidad Industrial de Santander

    Dra en Matemáticas, Profesora Asociada, Escuela de Matemáticas, Universidad Industrial de Santander 

  • Wilson Olaya-León, Universidad Industrial de Santander

    Dr en Matemáticas, Profesor Asociado, Escuela de Matemáticas, Universidad Industrial de Santander.

References

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Published

2016-11-11

Issue

Vol. 12 No. 24 (2016)

Section

Articles

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How to Cite

Granados-Pinzón, C., & Olaya-León, W. (2016). Finite dimensional commutative K-algebras with unity. Ingeniería Y Ciencia, 12(24), 31-49. https://doi.org/10.17230/ingciencia.12.24.2

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