Literature cited
Dnestr Notebook [in Russian], 2nd ed., Novosibirsk (1976).
V. T. Filippov, "On the trivial ideals of a free alternative algebra," Algebra Logika,22, No. 2, 156–171 (1983).
K. A. Zhevlakov, "Remarks on simple alternative rings," Algebra Logika,6, No. 2, 21–33 (1967).
E. Kleinfeld, "Alternative nil rings", Ann. Math.,66, No. 3, 395–399 (1957).
V. T. Filippov, "On free Mal'tsev algebras and alternative algebras," Algebra Logika,21, No. 1, 84–107 (1982).
K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Near-Associative Rings [in Russian], Nauka, Moscow (1978).
V. T. Filippov, "On the chains of varieties generated by free Mal'tsev and alternative algebras," Dokl. Akad. Nauk SSSR,260, No. 5, 1082–1085 (1981).
V. T. Filippov, "On nilpotent ideals in Mal'tsev algebras," Algebra Logika,18, No. 5, 599–613 (1979).
Yu. A. Medvedev, "An example of a variety of solvable alternative algebras over a field of characteristic two that does not have a finite basis of identities," Algebra Logika,19, No. 3, 300–313 (1980).
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Translated from Algebra i Logika, Vol. 22, No. 3, pp. 343–354, May–June, 1983.
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Filippov, V.T. Nilpotent ideals of a free alternative algebra. Algebra and Logic 22, 250–259 (1983). https://doi.org/10.1007/BF01978984
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DOI: https://doi.org/10.1007/BF01978984