Article ID Journal Published Year Pages File Type
4598858 Linear Algebra and its Applications 2015 8 Pages PDF
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
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