Varieties and $Z_2$-graded algebras
Izvestiya. Mathematics , Tome 25 (1985) no. 2, pp. 359-374.

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

A structure theory of varieties of associative algebras over a field of characteristic zero is constructed. It is shown that any variety is a product of a nilpotent and a semiprime variety. The semiprime varieties are described. Bibliography: 10 titles.
@article{IM2_1985_25_2_a4,
     author = {A. R. Kemer},
     title = {Varieties and $Z_2$-graded algebras},
     journal = {Izvestiya. Mathematics },
     pages = {359--374},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_2_a4/}
}
TY  - JOUR
AU  - A. R. Kemer
TI  - Varieties and $Z_2$-graded algebras
JO  - Izvestiya. Mathematics 
PY  - 1985
SP  - 359
EP  - 374
VL  - 25
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1985_25_2_a4/
LA  - en
ID  - IM2_1985_25_2_a4
ER  - 
%0 Journal Article
%A A. R. Kemer
%T Varieties and $Z_2$-graded algebras
%J Izvestiya. Mathematics 
%D 1985
%P 359-374
%V 25
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1985_25_2_a4/
%G en
%F IM2_1985_25_2_a4
A. R. Kemer. Varieties and $Z_2$-graded algebras. Izvestiya. Mathematics , Tome 25 (1985) no. 2, pp. 359-374. http://geodesic.mathdoc.fr/item/IM2_1985_25_2_a4/

[1] Kemer A. R., “O nematrichnykh mnogoobraziyakh”, Algebra i logika, 19:3 (1980), 255–283 | MR | Zbl

[2] Regev A., “Existence of identities in $A\otimes B$”, Israel J. Math., 11:2 (1972), 131–152 | DOI | MR | Zbl

[3] Kertis Ch., Rainer I., Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, M., 1969 | MR

[4] Kemer A. R., “Tozhdestva Kapelli i nilpotentnost radikala konechnoporozhdennoi $PI$-algebry”, Dokl. AN SSSR, 255:4 (1980), 793–797 | MR

[5] Levin J., “A Matrix representation for associative algebras”, Trans. Amer. Math. Soc., 188:2 (1974), 293–317 | MR

[6] Higman G., “On a conjecture of Nagata”, Proc. Cambridge Philos. Soc., 52:1 (1956), 1–4 | DOI | MR | Zbl

[7] Amitsur S., “The $T$-ideals of free rings”, J. London Math. Soc., 30 (1955), 470–475 | DOI | MR | Zbl

[8] Razmyslov Yu. P., “Tozhdestva so sledom polnykh matrichnykh algebr nad polem kharakteristiki nul”, Izv. AN SSSR. Ser. matem., 1974, no. 4, 723–756 | MR | Zbl

[9] Razmyslov Yu. P., “O radikale Dzhekobsona v $PI$-algebrakh”, Algebra i logika, 13:3 (1974), 337–360 | MR | Zbl

[10] Razmyslov Yu. P., “Algebry, udovletvoryayuschie tozhdestvennym sootnosheniyam tipa Kapelli”, Izv. AN SSSR. Ser. matem., 45:1 (1981), 143–166 | MR | Zbl