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On the Jacobson radical and absolute zero divisors of special Jordan algebras. (English. Russian original) Zbl 0284.17009

Algebra Logic 11(1972), 396-402 (1974); translation from Algebra Logika 11, 711-723 (1972).

MSC:

17C10 Structure theory for Jordan algebras
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References:

[1] N. Bourbaki, Algebra [Russian translation], Nauka, Moscow (1966). · Zbl 0301.54001
[2] K. A. Zhevlakov, ”Solvability and nilpotency of Jordan rings,” Algebra i Logika,5, No. 3, 37–58 (1966). · Zbl 0253.17015
[3] A. M. Slin’ko, ”On the radicals of Jordan rings,” Algebra i Logika,11, No. 2, 206–215 (1972).
[4] A. I. Shirshov, ”On some nonassociative nilrings and algebraic algebras,” Matem. Sb.,41, No. 3, 381–394 (1957). · Zbl 0078.02202
[5] N. Jacobson, ”Structure theory for a class of Jordan algebras,” Proc. Nat. Acad. Sci. USA,55, 243–251 (1966). · Zbl 0133.28903
[6] N. Jacobson, Structure and Representations of Jordan Algebras, Amer. Math. Soc., Providence, Rhode Island (1968). · Zbl 0218.17010
[7] K. McCrimmon, ”A general theory of Jordan rings,” Proc. Nat. Acad. Sci. USA,56, 1072–1079 (1966). · Zbl 0139.25502
[8] K. McCrimmon, ”The radical of a Jordan algebra,” Proc. Nat. Acad. Sci. USA,62, 671–678 (1969). · Zbl 0175.31002
[9] D. L. Morgan, ”Jordan algebras with minimum condition,” Trans. Amer. Math. Soc.,155, No. 1, 161–173 (1971). · Zbl 0265.17004
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