Geodesic
On $T$-spaces in a~relatively free two-generated Lie nilpotent associative algebra of index~$4$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 133-139.

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

In this work, we continue to study $T$-spaces in Lie nilpotent algebras of index $l>3$. The focus is on the two-generated algebra of index $4$, where simple finite systems of generators are specified for a broad class of $T$-spaces in $T^{(3)}/T^{(4)}$. 
@article{FPM_2012_17_4_a6,
     author = {A. V. Grishin},
     title = {On $T$-spaces in a~relatively free two-generated {Lie} nilpotent associative algebra of index~$4$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {133--139},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a6/}
}
TY  - JOUR
AU  - A. V. Grishin
TI  - On $T$-spaces in a~relatively free two-generated Lie nilpotent associative algebra of index~$4$
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2012
SP  - 133
EP  - 139
VL  - 17
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a6/
LA  - ru
ID  - FPM_2012_17_4_a6
ER  - 
%0 Journal Article
%A A. V. Grishin
%T On $T$-spaces in a~relatively free two-generated Lie nilpotent associative algebra of index~$4$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2012
%P 133-139
%V 17
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a6/
%G ru
%F FPM_2012_17_4_a6
A. V. Grishin. On $T$-spaces in a~relatively free two-generated Lie nilpotent associative algebra of index~$4$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 4, pp. 133-139. http://geodesic.mathdoc.fr/item/FPM_2012_17_4_a6/

[1] Volichenko I. B., $T$-ideal, porozhdënnyi elementom $[x_1,x_2,x_3,x_4]$, Preprint, In-t mat. AN BSSR, Minsk, 1978

[2] Grishin A. V., “Primery ne konechnoi baziruemosti $T$-prostranstv i $T$-idealov v kharakteristike 2”, Fundament. i prikl. mat., 5:1 (1999), 101–118 | MR | Zbl

[3] Grishin A. V., Tsybulya L. M., “O strukture otnositelno svobodnoi algebry Grassmana”, Fundament. i prikl. mat., 15:8 (2009), 3–93 | MR

[4] Grishin A. V., Tsybulya L. M., “O $T$-prostranstvennom i multiplikativnom stroenii otnositelno svobodnoi algebry Grassmana”, Mat. sb., 200:9 (2009), 41–80 | DOI | MR | Zbl

[5] Grishin A. V., Tsybulya L. M., Shokola A. A., “O $T$-prostranstvakh i sootnosheniyakh v otnositelno svobodnykh lievski nilpotentnykh assotsiativnykh algebrakh”, Fundament. prikl. mat., 16:3 (2010), 135–148 | MR

[6] Latyshev V. N., “O konechnoi porozhdënnosti $T$-ideala s elementom $[x_1,x_2,x_3,x_4]$”, Sib. mat. zhurn., 6:6 (1965), 1432–1434 | MR | Zbl

[7] Schigolev V. V., “Primery beskonechno baziruemykh $T$-prostranstv”, Mat. sb., 191:1 (2000), 143–160 | DOI | MR | Zbl

[8] Grishin A. V., Shchigolev V. V., “On $T$-spaces and their applications”, J. Math. Sci., 134:1 (2006), 1799–1878 | DOI | MR | Zbl