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Literature Cited
V. G. Skosyrskii, “Strictly prime noncommutative Jordan algebras,” Trudy Inst. Mat.,16, 131–164 (1989).
A. A. Albert, “Power associative rings,” Trans. Amer. Math. Soc.,64, 552–593 (1948).
K. McCrimmon, “The radical of a Jordan algebra,” Proc. Nat. Acad. Sci. USA,62, 671–678 (1969).
K. A. Zhevlakov et al., Rings Close to Associative Ones [in Russian], Nauka, Moscow (1978).
W. E. Baxter and W. S. Martindale, III, “Central closure of semiprime non-associative rings,” Commun. Algebra,7, 1103–1132 (1979).
A. M. Slin'ko, “A remark on radicals and differentiation of rings,” Sib. Mat. Zh.,13, No. 6, 1395–1397 (1972).
S. Lang, Algebra, Addision-Wesley, Reading, Mass. (1965).
R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, New York (1966).
L. A. Kokoris, “Simple nodal noncommutative Jordan algebras,” Proc. Amer. Math. Soc.,9, 652–654 (1958).
L. A. Kokoris, “Nodal noncommutative Jordan algebras,” Can. J. Math.,12, 488–492 (1960).
R. H. Oehmke, “Nodal Jordan algebras,” Trans. Amer. Math. Soc.,112, 416–431 (1964).
R. D. Schafer, “Nodal noncommutative Jordan algebras and simple Lie algebras of characteristic p,” Trans. Amer. Math. Soc.,94, 310–326 (1960).
O. Zariski and P. Samuel, Commutative Algebra, Vols. 1 and 2, Van Nostrand, Princeton, N.J. (1958–1960).
D. R. Scribner, “Infinitive nodal noncommutative Jordan algebras; differentiably simple algebras,” Trans. Amer. Math. Soc.,156, 381–389 (1971).
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Dedicated to the bright memory of Anatolii Illarionovich Shirshov.
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 6, pp. 150–157, November–December, 1991.
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Skosyrskii, V.G. Noncommutative Jordan algebras a under the condition that A(+) is associative. Sib Math J 32, 1024–1030 (1991). https://doi.org/10.1007/BF00971209
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DOI: https://doi.org/10.1007/BF00971209