24 citations · 101 across the 42 of their papers we have counts for
4 papers · 1 filter
On the tame authomorphism approximation, augmentation Topology of Automorphism Groups and -schemes, and authomorphisms of tame automorphism groups
A. Kanel-Belov, J. -T. Yu, A. Elishev
We study authomorphisms of -groups of polynomial automorphisms (wich are singular) via tame approximations. Such objects were pioneeered in research by B.I.Plotkin We obtain a…
A short proof that the free associative algebra is Hopfian
Alexei Kanel-Belov, Louis Rowen, Jie-Tai Yu
A short proof is given of the fact that various classes of algebras including the free associative algebra are Hopfian, i.e., every epimorphism is an automorphism. This further sim…
Lifting of Polynomial Symplectomorphisms and Deformation Quantization
Alexei Kanel-Belov, Sergey Grigoriev, Andrey Elishev +2
We study the problem of lifting of polynomial symplectomorphisms in characteristic zero to automorphisms of the Weyl algebra by means of approximation by tame automorphisms. We uti…
Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction
Jie Yu, Yikan Liu, Masahiro Yamamoto
In this article, we investigate the determination of the spatial component in the time-dependent second order coefficient of a hyperbolic equation from both theoretical and numeric…