2 citations · 5 across the 10 of their papers we have counts for
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Test polynomials, retracts, and the Jacobian conjecture
Vladimir Shpilrain, Jie-Tai Yu
Let K[x,y] be the algebra of two-variable polynomials over a field K. A polynomial p=p(x, y) is called a test polynomial (for automorphisms) if, whenever ϕ(p)=p for a mapping ϕof K…
Affine varieties with equivalent cylinders
Vladimir Shpilrain, Jie-Tai Yu
A well-known cancellation problem asks when, for two algebraic varieties , the isomorphism of the cylinders and $V_2 \times {\bf…
Peak reduction technique in commutative algebra
Vladimir Shpilrain, Jie-Tai Yu
The "peak reduction" method is a powerful combinatorial technique with applications in many different areas of mathematics as well as theoretical computer science. It was introduce…
Embeddings of curves in the plane
Vladimir Shpilrain, Jie-Tai Yu
In this paper, we contribute toward a classification of two-variable polynomials by classifying (up to an automorphism of ) polynomials whose Newton polygon is either a triang…