89 citations · 253 across the 20 of their papers we have counts for
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The images of Lie polynomials evaluated on matrices
Alexei Kanel-Belov, Sergey Malev, Louis Rowen
Kaplansky asked about the possible images of a polynomial in several noncommuting variables. In this paper we consider the case of a Lie polynomial. We describe all the pos…
Mathematical Competitions and Olympiads-Mathematic or Sport
Alexei Kanel-Belov
The situation surrounding the Olympiads is paradoxical. On the one hand, considerable resources are spent on the Olympiads. On the other hand, there are widespread arguments about…
Kemer's Theorem for Affine PI Algebras Over a Field of Characteristic Zero
Eli Aljadeff, Alexei Kanel-Belov, Yakov Karasik
We present a proof of Kemer's representability theorem for affine PI algebras over a field of characteristic zero.
Mathematical Student Education - "listki" or dialog?
Alexander Kovaldji, Alexei Kanel-Belov
The paper is devoted to technology of math. education in Russia in special mathematical schools ("listkovaya systema"). This system has positive sides and most classes in Russian m…
Scientific conferences of High school students: Where is myth and where is realty?
Alexei Kanel-Belov
The paper deals with popular mathematics and mathematical education of talented students. The paper is devoted to high school students mathematical conferences, problem contest for…
The Grassmann algebra in arbitrary characteristic and generalized sign
Gal Dor, Alexei Kanel-Belov, Uzi Vishne
We define a generalization of the Grassmann algebra which is well-behaved over arbitrary commutative rings , even when is not invertible. In particular, t…