basal units

The set of all n×n matrices over a skew field forms an n2-dimensional associative algebra, for the basis of which one can take the basal units.  A basal unit of the algebraPlanetmathPlanetmath has all components zeroes except only one which is 1.



is a basal unit of the algebra of 3×3 matrices.


  • 1 L. E. Dickson: Algebras and their arithmetics.  Dover Publications, Inc.  New York (1923; second edition 1960).
Title basal units
Canonical name BasalUnits
Date of creation 2013-03-22 19:17:13
Last modified on 2013-03-22 19:17:13
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 7
Author pahio (2872)
Entry type Definition
Classification msc 15A03
Related topic MatrixRing
Related topic StandardBasis