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

Authors

  • Giuseppe Zito Università 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

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Published

2017-11-15

Issue

Section

Articoli