[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170424

JORDAN TYPES OF COMMUTING NILPOTENT MATRICES

Ozturk, Semra (Department of Mathematics Middle East Technical University)

Publication Information

Communications of the Korean Mathematical Society / v.33, no.4, 2018 , pp. 1097-1102 More about this Journal

Abstract

Let A and B be matrices which are polynomials in r pairwise commuting nilpotent matrices over a field. We give a sufficient condition for the null space of $A^i$ to equal that of $B^i$ for all i, in particular, for A and B to be similar.

Keywords

Jordan canonical form; Jordan type; pairwise commuting nilpotent matrices;

Citations & Related Records

Reference

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