Algebra and Logic

, Volume 24, Issue 6, pp 441–454 | Cite as

Nilpotent elements and nil-radicals of alternative algebras

  • S. V. Pchelintsev


Mathematical Logic Nilpotent Element Alternative Algebra 
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Literature cited

  1. 1.
    Dnestrovsk Notebook [in Russian], Novosibirsk (1982).Google Scholar
  2. 2.
    K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Rings Close to Associative Rings [in Russian], Nauka, Moscow (1978).Google Scholar
  3. 3.
    A. V. Il'tyakov, "Free alternative algebras of rank," Algebra Logika,23, No. 2, 136–158 (1984).Google Scholar
  4. 4.
    A. I. Mal'tsev, Algebraic Systems [in Russian], Nauka, Moscow (1970).Google Scholar
  5. 5.
    S. V. Pchelintsev, "On metaideals of alternative algebras," Sib. Mat. Zh.,24, No. 3, 342–348 (1983).Google Scholar
  6. 6.
    S. V. Pchelintsev, "On Baire chains of alternative PI-algebras," Algebra Logika,22, No. 6, 636–648 (1983).Google Scholar
  7. 7.
    S. V. Pchelintsev, "A theorem on height for alternative algebras," Mat. Sb.,124, No. 4, 557–567 (1984).Google Scholar
  8. 8.
    S. V. Pchelintsev, "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).Google Scholar
  9. 9.
    I. P. Shestakov, "Radicals and nilpotent elements of free alternative algebras," Algebra Logika,14, No. 3, 354–365 (1975).Google Scholar
  10. 10.
    I. P. Shestakov, "Centers of alternative algebras," Algebra Logika,15, No. 3, 343–362 (1976).Google Scholar
  11. 11.
    I. P. Shestakov, "Absolute divisors of zero and radicals of finitely generated alternative algebras," Algebra Logika,15, No. 5, 585–602 (1976).Google Scholar
  12. 12.
    I. P. Shestakov, "Finitely generated special Jordan and alternative PI-algebras," Mat. Sb.,122, No. 1, 31–40 (1983).Google Scholar
  13. 13.
    V. T. Filippov, "On Mal'tsev algebras that satisfy the Engel condition," Algebra Logika,14, No. 4, 441–455 (1975).Google Scholar
  14. 14.
    V. T. Filippov, "On trivial ideals of a free alternative algebra," Algebra Logika,22, No. 2, 156–171 (1983).Google Scholar
  15. 15.
    V. T. Filippov, "On nilpotent ideals of a free alternative algebra," Algebra Logika,22, No. 3, 343–354 (1983).Google Scholar
  16. 16.
    J. R. Hentzel, "Centers of alternative rings," J. Algebra,90, No. 1, 247–250 (1984).Google Scholar
  17. 17.
    M. M. Humm and E. Kleinfeld, "On free alternative rings," J. Combin. Theory,2, No. 2, 140–144 (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

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  • S. V. Pchelintsev

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