On the codimension of subalgebras of the algebra of matrices over a field

  • Giuseppe Zito Universit√† degli studi di Catania
Keywords: linear algebra, rings and algebras, matrix algebra, codimension, proper subalgebras.

Abstract

In this paper we provide an elementary and easy proof that a proper subalgebra of the matrix algebra K^n,n, with n>=3 and K an arbitrary field, has dimension strictly less than n^2-1

Author Biography

Giuseppe Zito, Università degli studi di Catania
Dipartimento di Matematica e Informatica PhD student
Published
2017-11-15
Section
Articoli