24 citations · 101 across the 42 of their papers we have counts for
4 papers · 1 filter
Endomorphisms preserving coordinates of polynomial algebras
Yun-Chang Li, Jie-Tai Yu
It is proved that the Jacobian of a k-endomorphism of k[x_1,...,x_n] over a field k of characteristic zero taking every tame coordinate to a coordinate, must be a nonzero constant…
On the lifting of the Nagata automorphism
Alexei Belov-Kanel, Jie-Tai Yu
It is proved that the Nagata automorphism (Nagata coordinates, respectively) of the polynomial algebra over a field cannot be lifted to a -automorphism (-coord…
Automorphisms of polynomial algebras and Dirichlet series
Vesselin Drensky, Jie-Tai Yu
Let GF(q)[x,y] be the polynomial algebra in two variables over the finite field GF(q) with q elements. We give an exact formula and the asymptotics for the number p(n) of automorph…
Polynomial Retracts and the Jacobian Conjecture
Vladimir Shpilrain, Jie-Tai Yu
Let be the polynomial algebra in two variables over a field of characteristic . A subalgebra of is called a retract if there is an idempotent homomo…