S. Malev

activity

20052026

most citedThe images of non-commutative polynomials evaluated on

2 \times 2

matrices

66 citations · 207 across the 19 of their papers we have counts for

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Showing 2019Show all

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math.RA2019★ 39 cited

Evaluations of Noncommutative Polynomials on Algebras: Methods and Problems, and the L'vov-Kaplansky Conjecture

Alexei Kanel-Belov, Sergey Malev, Louis Rowen +1

Let $p$ be a polynomial in several non-commuting variables with coefficients in a field $K$ of arbitrary characteristic. It has been conjectured that for any $n$ , for $p$ multiline…

math.RA2019

The images of non-commutative polynomials evaluated on the Quaternion algebra

Sergey Malev

Let $p$ be a multilinear polynomial in several non-commuting variables with coefficients in an arbitrary field $K$ . Kaplansky conjectured that for any $n$ , the image of $p$ evaluat…