6 citations · 9 across the 3 of their papers we have counts for
3 papers
math.GR2018★ 1 cited
Automata system in finitelly generated groups
D. Gusev, I. A. Ivanov-Pogodaev, A. Kanel-Belov
We prove that any finite system of interacted automata can not leave some finite arear of Calley graph of periodic group. If group has non-periodic element, then its Calley graph c…
math.QA2017★ 6 cited
Bergman's Centralizer Theorem and quantization
Alexei Kanel Belov, Farrokh Razavinia, Wenchao Zhang
We prove Bergman's theorem on centralizers by using generic matrices and Kontsevich's quantization method. For any field of positive characteristics, set $A=\textbf{k…
math.AG2014★ 2 cited
On Planar Algebraic Curves and Holonomic -modules in Positive Characteristic
Alexei Kanel-Belov, Andrey Elishev
In this paper we study a correspondence between cyclic modules over the first Weyl algebra and planar algebraic curves in positive characteristic. In particular, we show that any s…