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Constants of derivations on free associative algebras
Published online by Cambridge University Press: 18 July 2002
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It is proved that the subalgebra of constants of a derivation on a free associative algebra in prime characteristic is free provided that some constraining conditions are satisfied. As a particular case, it follows that the constants of the partial derivatives on a free algebra form a free subalgebra. The main result is also applied in order to provide a simplified proof of a previous result by the author on extensions of tensor rings.
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- 2002 Glasgow Mathematical Journal Trust
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