Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773006 | Linear Algebra and its Applications | 2017 | 23 Pages |
Abstract
An in depth analysis of the maximum dimension of a subalgebra of the full nÃn matrix algebra Mn(F) over a field F satisfying the identity [x1,y1][x2,y2]â¯[xq,yq]=0 (as obtained in [5]) leads to a more detailed formula for this maximum dimension, as well to a precise way of obtaining a class of examples of F-subalgebras of Mn(F) having this dimension, and finally to determining exactly when a simplified version of the mentioned formula can be used.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Leon van Wyk, MichaÅ Ziembowski,