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

collaborators

Showing 2013Show all

3 papers · 1 filter

math.AG2013★ 23 cited

Power-central polynomials on matrices

Alexei Kanel-Belov, Sergey Malev, Louis Rowen

Any multilinear non-central polynomial $p$ (in several noncommuting variables) takes on values of degree $n$ in the matrix algebra $M_{n} (F)$ over an infinite field $F$ . The polynomi…

math.AG2013★ 2 cited

The images of non-commutative polynomials evaluated on $2 \times 2$ matrices over an arbitrary field

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…

math.AG2013★ 39 cited

The images of multilinear polynomials evaluated on $3 \times 3$ matrices

Alexei Kanel-Belov, Sergey Malev, Louis Rowen

Let $p$ be a multilinear polynomial in several noncommuting variables, with coefficients in a algebraically closed field $K$ of arbitrary characteristic. In this paper we classify…

Power-central polynomials on matrices

The images of non-commutative polynomials evaluated on 2×2 matrices over an arbitrary field

The images of multilinear polynomials evaluated on 3×3 matrices

The images of non-commutative polynomials evaluated on $2 \times 2$ matrices over an arbitrary field

The images of multilinear polynomials evaluated on $3 \times 3$ matrices