66 citations · 81 across the 8 of their papers we have counts for
9 papers
Semigroup of paths on a family of complexes with uniform ellipticity
Ilya A. Ivanov-Pogodaev, Alexey Ya. Kanel-Belov
This is the third part of a cycle of papers devoted to the construction of a finitely presented infinite nil-semigroup satisfying the identity . This construction answers…
Deterministic coloring of a family of complexes
Ilya Ivanov-Pogodaev, Alexey Kanel-Belov
This is the second paper devoted to construction of finitely presented infinite nil semigroup with identity . This construction answers to the problem of Lev Shevrin and Mar…
Construction of infinite finitely presented nilsemigroup (short version)
Ilya Ivanov-Pogodaev, Alexey Kanel-Belov
This paper is devoted to construction of finitely presented infinite nil semigroup with identity . This construction answers to the problem of Lev Shevrin and Mark Sapir. Th…
Probabilistic methods of bypassing the maze using stones and a random number sensor
E. G. Kondakova, A. Ya. Kanel-Belov
In this paper, some open questions that are posed in Ajans' dissertation continue to be addressed: a robot bypass with a generator of random bits of integer spaces in the presence…
Sturm palindrome substitution criterion
I. A. Reshetnikov, A. Ya. Kanel-Belov
The article provides a criterion for the substitution of symmetric Sturm words infinite on both sides and its proof. This work was carried out with the help of the Russian Science…
Memoria of Valery Anatolievich Senderov
A. Ya Kanel-Belov
The paper dedicated to memory of Valery Anatolievich Senderov
The images of non-commutative polynomials evaluated on matrices over an arbitrary field
Sergey Malev
Let be a multilinear polynomial in several non-commuting variables with coefficients in an arbitrary field . Kaplansky conjectured that for any , the image of evaluat…
The images of non-commutative polynomials evaluated on matrices
Alexey Kanel-Belov, Sergey Malev, Louis Rowen
Let be a multilinear polynomial in several non-commuting variables with coefficients in a quadratically closed field of any characteristic. It has been conjectured that for…
Describing the set of words generated by interval exchange transformation
A. Ya. Belov, A. L. Chernyat'ev
Let be an infinite word over finite alphabet . We get combinatorial criteria of existence of interval exchange transformations that generate the word W.