@misc{Bajorska_Beata_On,
 author={Bajorska, Beata},
 howpublished={online},
 language={eng},
 abstract={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. },
 title={On Jordan-Chevalley decomposition},
 keywords={linear operator, Jordan-Chevalley decomposition, perfect field},
}