Skip to main content
SpringerLink
Log in

Nilpotent elements and nil-radicals of alternative algebras

  • Published:
Algebra and Logic Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. Dnestrovsk Notebook [in Russian], Novosibirsk (1982).

  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. A. V. Il'tyakov, "Free alternative algebras of rank," Algebra Logika,23, No. 2, 136–158 (1984).

    Google Scholar 

  4. A. I. Mal'tsev, Algebraic Systems [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  5. S. V. Pchelintsev, "On metaideals of alternative algebras," Sib. Mat. Zh.,24, No. 3, 342–348 (1983).

    Google Scholar 

  6. S. V. Pchelintsev, "On Baire chains of alternative PI-algebras," Algebra Logika,22, No. 6, 636–648 (1983).

    Google Scholar 

  7. S. V. Pchelintsev, "A theorem on height for alternative algebras," Mat. Sb.,124, No. 4, 557–567 (1984).

    Google Scholar 

  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. I. P. Shestakov, "Radicals and nilpotent elements of free alternative algebras," Algebra Logika,14, No. 3, 354–365 (1975).

    Google Scholar 

  10. I. P. Shestakov, "Centers of alternative algebras," Algebra Logika,15, No. 3, 343–362 (1976).

    Google Scholar 

  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. I. P. Shestakov, "Finitely generated special Jordan and alternative PI-algebras," Mat. Sb.,122, No. 1, 31–40 (1983).

    Google Scholar 

  13. V. T. Filippov, "On Mal'tsev algebras that satisfy the Engel condition," Algebra Logika,14, No. 4, 441–455 (1975).

    Google Scholar 

  14. V. T. Filippov, "On trivial ideals of a free alternative algebra," Algebra Logika,22, No. 2, 156–171 (1983).

    Google Scholar 

  15. V. T. Filippov, "On nilpotent ideals of a free alternative algebra," Algebra Logika,22, No. 3, 343–354 (1983).

    Google Scholar 

  16. J. R. Hentzel, "Centers of alternative rings," J. Algebra,90, No. 1, 247–250 (1984).

    Google Scholar 

  17. M. M. Humm and E. Kleinfeld, "On free alternative rings," J. Combin. Theory,2, No. 2, 140–144 (1967).

    Google Scholar 

Download references

Authors
  1. S. V. Pchelintsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Algebra i Logika, Vol. 24, No. 6, pp. 674–695, November–December, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pchelintsev, S.V. Nilpotent elements and nil-radicals of alternative algebras. Algebra and Logic 24, 441–454 (1985). https://doi.org/10.1007/BF01978847

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01978847

Keywords

Search

Navigation