On Burnside Theorem for Matrix Rings

Authors

  • 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.

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.

References

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T.Y. Lam, A theorem of Burnside on Matrix Rings. AmerMath. Math. Monthly 105(1998).651-653.

V. Lomonosov, P. Rosenthal, The Simplest Proof of Burnside Theorem on Matrix A´ lgebras, Linear Álgebra and Its Applications 386 (2004) 45-47.

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://www.revistasuniatlanticoeduco.biteca.online/index.php/MATUA/article/view/1040

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Published

2014-06-27