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Polynomial Algebra
Jacobian Conjecture
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Images of locally finite derivations of polynomial algebras in two variables
Images of locally finite derivations of polynomial algebras in two variables,10.1016/j.jpaa.2010.12.002,Journal of Pure and Applied Algebra,Arno van d
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Images of locally finite derivations of polynomial algebras in two variables
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Arno van den Essen
,
David Wright
,
Wenhua Zhao
In this paper we show that the image of any locally finite kderivation of the
polynomial algebra
k[x,y] in two variables over a field k of characteristic zero is a Mathieu subspace. We also show that the twodimensional
Jacobian conjecture
is equivalent to the statement that the image ImD of every kderivation D of k[x,y] such that 1∈ImD and div D=0 is a Mathieu subspace of k[x,y].
Journal:
Journal of Pure and Applied Algebra  J PURE APPL ALG
, vol. 215, no. 9, pp. 21302134, 2011
DOI:
10.1016/j.jpaa.2010.12.002
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Mathieu subspaces of associative algebras
(
Citations: 2
)
Wenhua Zhao
Journal:
Journal of Algebra  J ALGEBRA
, 2010