Geodesic
On nil- and nilpotent finitely defined algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1239-1245.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present article the equivalence of nil-property and nilpotency of finitely defined algebras is explored. The answer is given according to the numbers of the generators and the defining relations. An example of algebras with few defining relations and nilpotent monomials of the first and the second degrees is also built. 
@article{FPM_2000_6_4_a18,
     author = {V. V. Shchigolev},
     title = {On nil- and nilpotent finitely defined algebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1239--1245},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a18/}
}
TY  - JOUR
AU  - V. V. Shchigolev
TI  - On nil- and nilpotent finitely defined algebras
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2000
SP  - 1239
EP  - 1245
VL  - 6
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a18/
LA  - ru
ID  - FPM_2000_6_4_a18
ER  - 
%0 Journal Article
%A V. V. Shchigolev
%T On nil- and nilpotent finitely defined algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 1239-1245
%V 6
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a18/
%G ru
%F FPM_2000_6_4_a18
V. V. Shchigolev. On nil- and nilpotent finitely defined algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 4, pp. 1239-1245. http://geodesic.mathdoc.fr/item/FPM_2000_6_4_a18/