The Jacobson radical in PI-algebras. (English. Russian original) Zbl 0354.16008
Algebra Logic 13(1974), 192-204 (1975); translation from Algebra Logika 13, 337-360 (1974).
MSC:
| 16Rxx | Rings with polynomial identity |
| 16Nxx | Radicals and radical properties of associative rings |
| 17B05 | Structure theory for Lie algebras and superalgebras |
References:
| [1] | S. A. Amitsur, ”A generalization of Hilbert’s Nullstellensatz,” Proc. Amer. Math. Soc.,8, No. 4, 649-656 (1957). · Zbl 0079.05401 |
| [2] | A. I. Shirshov, ”On rings with identity relations,” Mat. Sb.,43, No. 2, 277-283 (1957). · Zbl 0078.02402 |
| [3] | L. W. Small, ”An example in PI-rings,” J. Algebra,17, No. 3, 434-436 (1971). · Zbl 0226.16021 · doi:10.1016/0021-8693(71)90025-1 |
| [4] | Yu. P. Razmyslov, ”Identities with trace in complete matrix algebras over a field of characteristic zero,” Izv. Akad. Nauk SSSR, Ser. Matem.,38, No. 4, 723-756 (1974). |
| [5] | G. Higman, ”On a conjecture of Nagata,” Proc. Cambr. Phil. Soc.,32, No. 1, 1-4 (1956). · Zbl 0072.02502 · doi:10.1017/S0305004100030899 |
| [6] | Yu. P. Razmyslov, ”On a problem of Kaplansky,” Izv. Akad. Nauk SSSR, Ser. Matem.,37, No. 3, 483-501 (1973). |
| [7] | N. Jacobson, The Structure of Rings, Am. Math. Soc. Colloq. Publ., Vol. 37, Providence (1964). · Zbl 0117.03301 |
| [8] | H. Weyl, Classical Groups. Their Invariants and Representations, Princeton Univ. Press (1946). · Zbl 1024.20502 |
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