T-prime varieties and algebraic algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 1, pp. 221-243
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
We show in the paper that any non-matrix T-prime variety of associative algebras with unit over a field of characteristic $p>0$ is generated by an algebraic algebra of bounded index over some field.
[1] Kemer A. R., “Tozhdestva konechno porozhdennykh algebr nad beskonechnym polem”, Izv. AN SSSR. Ser. matem., 54:4 (1990), 726–753 | MR | Zbl
[2] Kemer A. R., “On the radical of relatively free algebra”, Abstracts of Ring Theory Conference, Miskolc, Hungary, 1996, 29
[3] Sviridova I. Yu., “Varieties and algebraic algebras of bounded degree”, Abstracts of Ring Theory Conference, Miskolc, Hungary, 1996, 60–61