MMN-1153

Rank function equations and their solution sets

Abstract

We examine so-called rank function equations and their solutions consisting of non-nilpotent matri- ces. Secondly, we present some geometrical properties of the set of solutions to certain rank function equations in the nilpotent case. The main results are Theorem 3.2, Theorem 3.4 and Theorem 4.5.


Vol. 15 (2014), No. 2, pp. 651-663
DOI: https://doi.org/10.18514/MMN.2014.1153


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