Constants of derivations on free associative algebras
Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 177-183

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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.
Ferreira, Vitor de Oliveira. Constants of derivations on free associative algebras. Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 177-183. doi: 10.1017/S0017089502010133
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