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
@article{10_1017_S0017089502010133,
author = {Ferreira, Vitor de Oliveira},
title = {Constants of derivations on free associative algebras},
journal = {Glasgow mathematical journal},
pages = {177--183},
year = {2002},
volume = {44},
number = {1},
doi = {10.1017/S0017089502010133},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502010133/}
}
TY - JOUR AU - Ferreira, Vitor de Oliveira TI - Constants of derivations on free associative algebras JO - Glasgow mathematical journal PY - 2002 SP - 177 EP - 183 VL - 44 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089502010133/ DO - 10.1017/S0017089502010133 ID - 10_1017_S0017089502010133 ER -
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