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- W2949409120 abstract "Let K 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 . Assume that the leading homogeneous components of f and g are algebraically dependent with degrees which do not divide each other. We give a counterexample to the recent conjecture of Jie-Tai Yu that deg([f,g])=deg(fg-gf) > min{deg(f),deg(g)}. Our example satisfies deg(g)/2 considered as a bimodule of K[u] where u is a monomial which is not a power of another monomial and then solving the equation [u^m,s]=[u^n,r] with unknowns r,s in K ." @default.
- W2949409120 created "2019-06-27" @default.
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- W2949409120 date "2008-06-03" @default.
- W2949409120 modified "2023-10-01" @default.
- W2949409120 title "Degree estimate for commutators" @default.
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