Functional identities on matrix algebras

Published 21 Mar 2014 in math.RA | (1403.5454v2)

Abstract: Complete solutions of functional identities $\sum_{k\in K}F_k(\bar{x}m^k)x_k = \sum{l\in L}x_lG_l(\bar{x}_m^l)$ on the matrix algebra $M_n(\mathbb{F})$ are given. The nonstandard parts of these solutions turn out to follow from the Cayley-Hamilton identity.

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