24 citations · 50 across the 3 of their papers we have counts for
3 papers
math.RA2020★ 3 cited
Small cancelation rings
A. Atkarskaya, A. Kanel-Belov, E. Plotkin +1
The theory of small cancellation groups is well known. In this paper we introduce the notion of Group-like Small Cancellation Ring. This is the main result of the paper. We define…
math.AG2013★ 23 cited
Power-central polynomials on matrices
Alexei Kanel-Belov, Sergey Malev, Louis Rowen
Any multilinear non-central polynomial (in several noncommuting variables) takes on values of degree in the matrix algebra over an infinite field . The polynomi…
math.GR2013★ 24 cited
Word equations in simple groups and polynomial equations in simple algebras
Alexey Kanel-Belov, Boris Kunyavskii, Eugene Plotkin
We give a brief survey of recent results on word maps on simple groups and polynomial maps on simple associative and Lie algebras. Our focus is on parallelism between these theorie…