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Literature Cited
G. V. Dorofeev, “Alternative rings with three generators,” Sib. Mat. Zh.,4, 1029–1048 (1963).
G. V. Dorofeev, “Centers of nonassociative rings,” Algebra Logika,12, No. 5, 530–549 (1973).
A. A. Zhevlakov, “Quasi-regular ideals in finitely generated alternative rings,” Algebra Logika,11, No. 2, 140–161 (1972).
A. N. Shelipov, “Certain properties of the kernel of an alternative ring,” Mat. Issled.,8, No. 2, 183–187 (1973).
I. P. Shestakov, “Free alternative rings,” Twelfth All-Union Algebraic Colloquium, Information Theses, Sverdlovsk, Notebook 1 (1973), p. 187.
I. P. Shestakov, “Radicals and nilpotent elements in free alternative algebras,” Algebra Logika,14, No. 3, 354–365 (1975).
R. H. Bruck and E. Kleinfeld, “The structure of alternative division rings,” Proc. Am. Math. Soc.,2, 878–890 (1951).
M. H. Humm and E. Kleinfeld, “On free alternative rings,” J. Combin. Theory,2, 140–144 (1967).
N. Jacobson, “Structure and representations of Jordan algebras,” Amer. Math. Soc. Coll. Publ.,39 (1968).
M. Slater, “Nucleus and center in alternative rings,” J. Algebra,7, 372–388 (1967).
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Translated from Algebra i Logika, Vol. 15, No. 3, pp. 343–362, May–June, 1976.
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Shestakov, I.P. Centers of alternative algebras. Algebra and Logic 15, 214–226 (1976). https://doi.org/10.1007/BF01876323
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DOI: https://doi.org/10.1007/BF01876323