24 citations · 101 across the 42 of their papers we have counts for
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Test elements, retracts and automorphic orbits
Sheng-Jun Gong, Jie-Tai Yu
Let be a free associative or polynomial algebra of rank two over a field of characteristic zero. Based on the degree estimate of Makar-Limanov and J.-T.Yu, we prove: 1) A…
Dimension of automorphisms with fixed degree for polynomial algebras
Vesselin Drensky, Jie-Tai Yu
Let be the polynomial algebra in two variables over an algebraically closed field . We generalize to the case of any characteristic the result of Furter that over a fie…
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…
Degree estimate for commutators
Vesselin Drensky, Jie-Tai Yu
Let K<X> be a free associative algebra over a field K of characteristic 0 and let each of the noncommuting polynomials f,g generate its centralizer in K<X>. Assume that the leading…