Geodesic
Varieties of solvable Lie rings of finite width
Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 643-650 
D. S. Ananichev; M. V. Volkov. Varieties of solvable Lie rings of finite width. Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 643-650. http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a0/
@article{MZM_1998_63_5_a0,
     author = {D. S. Ananichev and M. V. Volkov},
     title = {Varieties of solvable {Lie} rings of finite width},
     journal = {Matemati\v{c}eskie zametki},
     pages = {643--650},
     year = {1998},
     volume = {63},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a0/}
}
TY  - JOUR
AU  - D. S. Ananichev
AU  - M. V. Volkov
TI  - Varieties of solvable Lie rings of finite width
JO  - Matematičeskie zametki
PY  - 1998
SP  - 643
EP  - 650
VL  - 63
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a0/
LA  - ru
ID  - MZM_1998_63_5_a0
ER  - 
%0 Journal Article
%A D. S. Ananichev
%A M. V. Volkov
%T Varieties of solvable Lie rings of finite width
%J Matematičeskie zametki
%D 1998
%P 643-650
%V 63
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a0/
%G ru
%F MZM_1998_63_5_a0

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

A complete description of the varieties of Lie rings whose lattice of subvarieties has finite width is obtained.

[1] Artamonov V. A., “Tsepnye mnogoobraziya lineinykh algebr”, Tr. MMO, 29, URSS, M., 1973, 51–78 | MR | Zbl

[2] Artamonov V. A., “Reshetki mnogoobrazii lineinykh algebr”, UMN, 33:2 (1978), 135–167 | MR | Zbl

[3] Ananichev D. S., “Pochti distributivnye mnogoobraziya kolets Li”, Matem. sb., 186:4 (1995), 3–20 | MR | Zbl

[4] Dilworth R. P., “A decomposition theorem for partially ordered sets”, Ann. of Math., 51:1 (1950), 161–166 | DOI | MR | Zbl

[5] Volkov M. V., Gein A. G., “Tozhdestva pochti nilpotentnykh kolets Li”, Matem. sb., 118:1 (1982), 132–142 | MR | Zbl

[6] Lvov I. V., “O mnogoobraziyakh assotsiativnykh kolets, I”, Algebra i logika, 12:3 (1973), 269–297 | MR | Zbl

[7] Bakhturin Yu. A., Olshanskii A. Yu., “Tozhdestvennye sootnosheniya v konechnykh koltsakh Li”, Matem. sb., 96:4. (1975), 543–559 | MR | Zbl

[8] Bakhturin Yu. A., Tozhdestva v algebrakh Li, Nauka, M., 1985 | Zbl

[9] Bakhturin Yu. A., Olshanskii A. Yu., “Razreshimye pochti krossovy mnogoobraziya kolets Li”, Matem. sb., 100:3 (1976), 384–399 | MR | Zbl

[10] Birkgof G., Teoriya reshetok, Nauka, M., 1984