most citedAutomorphisms fixing a variable of K<x,y,z>

6 citations · 6 across the 2 of their papers we have counts for

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2 papers

math.RA2004★ 6 cited

Automorphisms fixing a variable of K<x,y,z>

Vesselin Drensky, Jie-Tai Yu

We study automorphisms of the free associative algebra K<x,y,z> over a field K which fix z and such that the images of x, y are linear with respect to x, y. We prove that some of t…

math.AG2004

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…