Rank function equations

The purpose of this paper is to introduce the notion of rank function equation, and to present some results on such equations. In particular, we find all sequences $(A_{1}, ..., A_{k}, B)$ of nonzero nilpotent $n imes n$ matrices satisfying condition 
 $$ forall, m in {1, ..., n} :, sum_{i=1...

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Bibliographic Details
Main Authors: Marcin Skrzyński, Piotr Pokora
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2012-04-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Online Access:http://studmath.up.krakow.pl/index.php/studmath/article/view/116