Literature Cited
Dnestr Notebook (Unsolved Problems of Ring Theory) [in Russian], 2nd edition, Novosibirsk (1976).
K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Jordan Algebras [in Russian], Novosibirsk (1976).
K. A. Zhevlakov, "Solvability and nilpotency of Jordan rings," Algebra Logika,5, No. 3, 37–58 (1966).
A. A. Nikitin, "Locally nilpotent algebras with minimum condition," in: Second All-Union Symposium on the Theory of Rings, Algebras, and Modules, Abstracts of Reports, Kishinev (1974), pp. 44–45.
S. V. Pchelintsev, "The locally nilpotent radical in certain classes of right alternative rings," Sib. Mat. Zh.,17, No. 2, 340–360 (1976).
A, M. Slin'ko, "The Jacobson radical and absolute zero-divisors of special Jordan algebras," Algebra Logika,11, No. 6, 716–728 (1972).
A. M. Slin'ko, "Jordan algebras with maximum condition," Algebra Logika,16, No. 1, 98–101 (1977).
C. M. Glennie, "Some identities valid in special Jordan algebras but not valid in all Jordan algebras," Pac. J. Math.,16, 47–59 (1966).
N. Jacobson, Structure and Representations of Jordan Algebras, Amer. Math. Soc., Providence, Rhode Island (1968).
K. McCrimmon, "The radical of a Jordan algebra," Proc. Nat. Acad. Sci. USA,62, 671–678 (1969).
K. McCrimmon, "Koecher's principle for quadratic Jordan algebras," Proc. Am. Math., Soc.,28, 39–43 (1971).
D. L. Morgan, "Jordan algebras with minimum condition," Trans. Am. Math. Soc.,155, No. 1, 161–173 (1971).
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Translated from Algebra i Logika, Vol. 17, No. 6, pp. 693–704, November–December, 1978.
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Zel'manov, E.I. Jordan algebras with finiteness conditions. Algebra and Logic 17, 450–457 (1978). https://doi.org/10.1007/BF01673575
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DOI: https://doi.org/10.1007/BF01673575