Endomorphisms of free associative algebras over commutative rings and their Jacobian matrices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 177-189
Voir la notice de l'article provenant de la source Math-Net.Ru
A matrix criterion for an endomorphism of the free associative algebra of finite rank over a commutative ring with the unity element to be an automorphism is obtained.
@article{FPM_1995_1_1_a8,
author = {A. A. Zolotykh and A. A. Mikhalev},
title = {Endomorphisms of free associative algebras over commutative rings and their {Jacobian} matrices},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {177--189},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a8/}
}
TY - JOUR AU - A. A. Zolotykh AU - A. A. Mikhalev TI - Endomorphisms of free associative algebras over commutative rings and their Jacobian matrices JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 1995 SP - 177 EP - 189 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a8/ LA - ru ID - FPM_1995_1_1_a8 ER -
%0 Journal Article %A A. A. Zolotykh %A A. A. Mikhalev %T Endomorphisms of free associative algebras over commutative rings and their Jacobian matrices %J Fundamentalʹnaâ i prikladnaâ matematika %D 1995 %P 177-189 %V 1 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a8/ %G ru %F FPM_1995_1_1_a8
A. A. Zolotykh; A. A. Mikhalev. Endomorphisms of free associative algebras over commutative rings and their Jacobian matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 177-189. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a8/