Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598858 | Linear Algebra and its Applications | 2015 | 8 Pages |
Abstract
We present a simple proof of a theorem due to Kaplansky which unifies theorems of Kolchin and Levitzki on triangularizability of semigroups of matrices. We also give two different extensions of the theorem. As a consequence, we prove the counterpart of Kolchin's Theorem for finite groups of unipotent matrices over division rings.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Heydar Radjavi, Bamdad R. Yahaghi,