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Literature Cited
T. Anderson, “hereditary radicals and derivations of algebras,” Can. J. Math.,21, 372–377 (1969).
E. A. Behrens, “Nichtassoziative Ringe,” Math. Ann.,127, 441–452 (1954).
B. Hartley, “Locally nilpotent ideals of a Lie algebra,” Proc. Cambr. Phil. Soc.,63, 257–272 (1967).
V. A. Parfenov, “On a weakly solvable radical of Lie algebras,” Sib. Matem. Zh.12, No. 1, 171–176 (1971).
K. A. Zhevlakov, “Solvability and nilpotency of Jordan rings,” Algebra i Logika,5, No. 3, 37–58 (1966).
A. I. Shirshov, “On some nonassociative nil-rings and algebraic algebras,” Matem. Sb.,41, No. 3, 381–394 (1957).
K. McCrimmon, “On a Herstein theorem relating Jordan and associative algebras,” J. Algebra,13, No. 3, 382–392 (1969).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 6, pp. 1395–1397, November–December, 1972.
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Slin'ko, A.M. Remark on radicals and differentiation of rings. Sib Math J 13, 984–986 (1972). https://doi.org/10.1007/BF00971875
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DOI: https://doi.org/10.1007/BF00971875