On Burnside Theorem for Matrix Rings

  • Alejandro Urieles Guerrero
  • Oswaldo Dede Mejía Universidad del Atlántico
  • María J. Ortega Wilches Universidad Pedagógica Libertador, IPC Caracas
Keywords: Field of the complex, the matrix rings n n on C, linear operators, unitary matrix, proper subspace. Campo de los números complejos, anillo de matrices nxn sobre el campo de los complejos, operadores lineales, matriz unitaria, subespacio propio.

Abstract

Let n be a integer non-negative and let C be field of the complex, we denote Mn(C) the matrix rings n n with entries in C. In the present paper we study the theorem of Burnside in the context of matrix rings Mn(C), giving a alternative
proof using basic concepts of the algebra.

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Published
2014-06-27
How to Cite
Guerrero, A. U., Mejía, O. D., & Ortega Wilches, M. J. (2014). On Burnside Theorem for Matrix Rings. Revista MATUA ISSN: 2389-7422, 1(1). Retrieved from https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/1040