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Certain classes of noncommutative Jordan rings. (English. Russian original) Zbl 0259.17001

Algebra Logic 10(1971), 252-280 (1973); translation from Algebra Logika 10, 407-448 (1971).

MSC:

17A15 Noncommutative Jordan algebras
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References:

[1] K. A. Zhevlakov, ”Solvability and nilpotency of Jordan rings,” Algebra i Logika,5, No. 3, 37–58 (1966). · Zbl 0253.17015
[2] E. N. Kuz’min, ”On anticommutative algebras satisfying the Engel condition,” Sibirsk. Matem. Zh.,8, No. 5, 1026–1034 (1967). · Zbl 0172.31701
[3] A. I. Shirshov, ”On certain nonassociative rings and algebraic algebras,” Matem. Sb.,41, No. 3, 381–394 (1957). · Zbl 0078.02202
[4] I. P. Shestakov, ”Finite-dimensional algebras with a null basis,” Algebra i Logika,10, No. 1, 87–99 (1971). · Zbl 0224.17001
[5] A. A. Albert, ”A structure theory for Jordan algebras,” Ann. of Math.,48, 546–567 (1947). · Zbl 0029.01003
[6] A. A. Albert, ”Power associative rings,” Trans. Amer. Math. Soc.,64, 552–593 (1948). · Zbl 0033.15402
[7] R. E. Block, ”Determination of A(+) for simple flexible algebras,” Proc. Nat. Acad. Sci., USA,61, 394–397 (1968). · Zbl 0198.35504
[8] R. E. Block, ”A unification of the theories of Jordan and alternative algebras,” Notices. Amer. Math. Soc.,16, No. 5, 803 (1969). · Zbl 0216.07303
[9] H. Braun and M. Koecher, Jordan-Algebren, Springer, Berlin-Heidelberg-New York (1966).
[10] E. Kleinfeld, ”Standard and accessible rings,” Canadian J. Math.,8, 335–340 (1956). · Zbl 0071.02702
[11] K. McCrimmon, ”Structure and representation of noncommutative Jordan algebras,” Trans. Amer. Math. Soc.,121, 187–199 (1966). · Zbl 0142.27401
[12] R. D. Schafer, ”Standard algebras,” Pacific J. Math.,29, No. 1, 203–223 (1969). · Zbl 0196.06101
[13] R. D. Schafer, ”Generalized standard algebras,” J. of Alg.,12, 386–417 (1969). · Zbl 0196.06102
[14] A. Thedy, ”Concerning the Wedderburn factorization theorem,” Math. Zeitschr.,113, 173–195 (1970). · Zbl 0182.36303
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