Functional identities on matrix algebras

Matej Bre\v{s}ar; \v{S}pela \v{S}penko

arxiv: 1403.5454 · v2 · pith:5MQ2SN3Xnew · submitted 2014-03-21 · 🧮 math.RA

Functional identities on matrix algebras

Matej Bre\v{s}ar , \v{S}pela \v{S}penko This is my paper

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keywords functionalidentitiesmatrixsolutionsalgebraalgebrascayley-hamiltoncomplete

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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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Functional identities on matrix algebras

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