Izvestiya. Mathematics, Tome 8 (1974) no. 4, pp. 727-760
Citer cet article
Yu. P. Razmyslov. Trace identities of full matrix algebras over a field of characteristic zero. Izvestiya. Mathematics, Tome 8 (1974) no. 4, pp. 727-760. http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/
@article{IM2_1974_8_4_a0,
author = {Yu. P. Razmyslov},
title = {Trace identities of full matrix algebras over a~field of characteristic zero},
journal = {Izvestiya. Mathematics},
pages = {727--760},
year = {1974},
volume = {8},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/}
}
TY - JOUR
AU - Yu. P. Razmyslov
TI - Trace identities of full matrix algebras over a field of characteristic zero
JO - Izvestiya. Mathematics
PY - 1974
SP - 727
EP - 760
VL - 8
IS - 4
UR - http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/
LA - en
ID - IM2_1974_8_4_a0
ER -
%0 Journal Article
%A Yu. P. Razmyslov
%T Trace identities of full matrix algebras over a field of characteristic zero
%J Izvestiya. Mathematics
%D 1974
%P 727-760
%V 8
%N 4
%U http://geodesic.mathdoc.fr/item/IM2_1974_8_4_a0/
%G en
%F IM2_1974_8_4_a0
In this paper we consider the trace identities satisfied in a full matrix algebra of order $n$. For the case of a field of characteristic zero we prove that all trace identities are consequences of one obtained from the Hamilton–Cayley theorem.