A1 - Bajorska, Beata
KW - linear operator
KW - Jordan-Chevalley decomposition
KW - perfect field
T1 - On Jordan-Chevalley decomposition
N2 - Expressing a linear operator on a finite dimensional vector space over any field K as a sum of two commuting operators - semisimple and nilpotent - is called the Jordan-Chevalley decomposition of f. It is known that this decomposition exists for an arbitrary f if only K is perfect. In this paper we give some methods for determining the decomposition.