Daniel Vitas

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20212026

most citedMultilinear Polynomials Are Surjective on Algebras With Surjective Inner Derivations

15 citations · 18 across the 5 of their papers we have counts for

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math.RA2021★ 3 cited

Images of Multilinear Polynomials in the Algebra of Finitary Matrices Contain Trace Zero Matrices

Daniel Vitas

Let $F$ be an infinite field and let $f$ be a nonzero multilinear polynomial with coefficients in $F$ . We prove that for every positive integer $d$ there exists a positive integer…

math.RA2021★ 15 cited

Multilinear Polynomials Are Surjective on Algebras With Surjective Inner Derivations

Daniel Vitas

Let $f (X_{1}, \dots, X_{n})$ be a nonzero multilinear noncommutative polynomial. If $A$ is a unital algebra with a surjective inner derivation, then every element in $A$ can be written…