2017/07/06 by Dolcetti, Alberto, Pertici, Donato
#12J10 #12J15 #15A18 #15A21 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1707.01794
In this note we mainly study the fine Jordan-Chevalley decomposition: a refinement of the classical Jordan-Chevalley decomposition of a matrix and we pay a particular attention to the field of the coefficients of the matrix. Moreover we obtain some further additive and multiplicative decompositions of a matrix under suitable conditions.