@article{SM_1997_188_8_a6,
author = {K. A. Zubrilin},
title = {On the largest nilpotent ideal in algebras satisfying {Capelli} identities},
journal = {Sbornik. Mathematics},
pages = {1203--1211},
year = {1997},
volume = {188},
number = {8},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1997_188_8_a6/}
}
K. A. Zubrilin. On the largest nilpotent ideal in algebras satisfying Capelli identities. Sbornik. Mathematics, Tome 188 (1997) no. 8, pp. 1203-1211. http://geodesic.mathdoc.fr/item/SM_1997_188_8_a6/
[1] Razmyslov Yu. P., “O radikale Dzhekobsona v PI-algebrakh”, Algebra i logika, 13:3 (1974), 337–360 | MR | Zbl
[2] Razmyslov Yu. P., “Algebry, udovletvoryayuschie tozhdestvennym sootnosheniyam tipa Kapelli”, Izv. AN SSSR. Ser. matem., 45:1 (1981), 143–166 | MR | Zbl
[3] Razmyslov Yu. P., Zubrilin K. A., “Capelli identities and representations of finite type”, Comm. Algebra, 22 (14) (1994), 5733–5744 | DOI | MR | Zbl
[4] Zubrilin K. A., “Algebry, udovletvoryayuschie tozhdestvam Kapelli”, Matem. sb., 186:3 (1995), 53–64 | MR | Zbl
[5] Zubrilin K. A., “O klasse nilpotentnosti prepyatstviya dlya predstavimosti algebr, udovletvoryayuschikh tozhdestvam Kapelli”, Fundament. i prikl. matem., 1:2 (1995), 409–430 | MR | Zbl
[6] Kemer A. R., “Tozhdestva Kapelli i nilpotentnost radikala Dzhekobsona konechno porozhdennoi PI-algebry”, Dokl. AN SSSR, 245:4 (1980), 793–799 | MR
[7] Braun A., “The Jacobson radical in a finitely generated P.I. algebra”, Bull. Amer. Math. Soc., 7:2 (1982), 385–386 | DOI | MR | Zbl