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On the Specht Property of Varieties of Commutative Alternative Algebras over a Field of Characteristic 3 and Commutative Moufang Loops

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References

  1. Dnestrovskaya Tetrad': Unsolved Problems in the Theory of Rings and Modules [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1993).

    Google Scholar 

  2. Medvedev Yu. A., “Finite basedness of varieties with a binomial identity,” Algebra i Logika, 17, No. 6, 705–726 (1978).

    Google Scholar 

  3. Medvedev Yu. A., “An example of a non-finitely-based variety of solvable alternative algebras over a field of characteristic 2,” Algebra i Logika, 19, No. 3, 300–313 (1980).

    Google Scholar 

  4. Pchelintsev S. V., “Solvability and nilpotency of alternative algebras and algebras of type (-1, 1),” in: Groups and Other Algebraic Systems with Finiteness Conditions [in Russian], Nauka, Novosibirsk, 1984, 4, pp. 81–101.

    Google Scholar 

  5. Umirbaev U. U., “Specht property of varieties of solvable alternative algebras,” Algebra i Logika, 24, No. 2, 226–239 (1985).

    Google Scholar 

  6. Bryant R. M. and Vaughan-Lee M. R., “Soluble varieties of Lie algebras,” Quart. J. Math., 89, No. 23, 107–112 (1972).

    Google Scholar 

  7. Sheina G. V., “On some varieties of Lie algebras,” Sibirsk. Mat. Zh., 17, No. 1, 194–199 (1976).

    Google Scholar 

  8. Sandu I. I., “Infinite irreducible systems of identities of the commutative Moufang loops and the distributive Steiner quasigroups,” Izv. Akad. Nauk SSSR Ser. Mat., 51, No. 1, 171–188 (1987).

    Google Scholar 

  9. Kleinfeld E., “Right alternative rings,” Proc. Amer. Math. Soc., 4, No. 6, 939–944 (1953).

    Google Scholar 

  10. Higman G., “Ordering by divisibility in abstract algebras,” Proc. London Math. Soc., 7, No. 2, 326–336 (1952).

    Google Scholar 

  11. Shestakov I. P., “Superalgebras and counterexamples,” Sibirsk. Mat. Zh., 32, No. 6, 187–196 (1991).

    Google Scholar 

  12. Belousov V. D., Fundamentals of the Theory of Quasigroups and Loops [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  13. Bruck R. H., A Survey of Binary Systems, Springer-Verlag, Berlin (1958).

    Google Scholar 

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  1. Buryat. State University, Ulan-Udë

    A. V. Badeev

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  1. A. V. Badeev
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Badeev, A.V. On the Specht Property of Varieties of Commutative Alternative Algebras over a Field of Characteristic 3 and Commutative Moufang Loops. Siberian Mathematical Journal 41, 1027–1041 (2000). https://doi.org/10.1023/A:1004859901534

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