Free nonassociative supercommutative algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 103-109
Voir la notice de l'article provenant de la source Math-Net.Ru
In the present work, we prove that homogeneous subalgebras of free nonassociative supercommutative algebras are free. As a consequence, we show that the group of automorphisms of a free nonassociative supercommutative algebra of finite rank is generated by elementary automorphisms.
@article{FPM_2003_9_3_a6,
author = {A. I. Korepanov},
title = {Free nonassociative supercommutative algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {103--109},
publisher = {mathdoc},
volume = {9},
number = {3},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a6/}
}
A. I. Korepanov. Free nonassociative supercommutative algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 3, pp. 103-109. http://geodesic.mathdoc.fr/item/FPM_2003_9_3_a6/