Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 69-71
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A. V. Grishin. On independent systems in unitary relatively free algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 8, pp. 69-71. http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a2/
@article{FPM_2008_14_8_a2,
author = {A. V. Grishin},
title = {On independent systems in unitary relatively free algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {69--71},
year = {2008},
volume = {14},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a2/}
}
TY - JOUR
AU - A. V. Grishin
TI - On independent systems in unitary relatively free algebras
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2008
SP - 69
EP - 71
VL - 14
IS - 8
UR - http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a2/
LA - ru
ID - FPM_2008_14_8_a2
ER -
%0 Journal Article
%A A. V. Grishin
%T On independent systems in unitary relatively free algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2008
%P 69-71
%V 14
%N 8
%U http://geodesic.mathdoc.fr/item/FPM_2008_14_8_a2/
%G ru
%F FPM_2008_14_8_a2
This paper introduces a family of polynomial systems of quite general form (triangular systems) in a unitary relatively free algebra $F$ with associative degrees. These systems generate a subalgebra that is isomorphic to the algebra $F$. The proof of independency is based on some simple algebro-geometric consideration.
