Skip to main content
Log in

Manifolds generated by free algebras of type (−1, 1) of finite rank

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literature Cited

  1. K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Nearly Associative Rings [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. S. V. Pchelintsev, “Nilpotency of the associator ideal of a free finitely-generated (−1, 1)-ring,” Algebra Logika,14, No. 5, 543–571 (1975).

    Google Scholar 

  3. I. P. Shestakov, “On a problem of Shirshov,” Algebra Logika,16, No. 2, 227–246 (1977).

    Google Scholar 

  4. V. T. Filippov, “On chains of manifolds generated by free Mal'tsev and alternative algebras,” Dokl. Akad. Nauk SSSR,260, No. 5, 1082–1085 (1981).

    Google Scholar 

  5. I. R. Hentzel, “The characterization of (−1, 1)-rings,” J. Algebra,30, Nos. 1–3, 236–258 (1974).

    Google Scholar 

  6. S. V. Pchelintsev, “A theorem on height for alternative algebras,” Mat. Sb.,124, 557–567 (1984).

    Google Scholar 

  7. R. É. Roomel'di, “Centers of a free (−1, 1)-ring,” Sib. Mat. Zh.,18, No. 4, 861–876 (1977).

    Google Scholar 

  8. S. V. Pchelintsev, “On a manifold of algebras of type (−1, 1),” Algebra Logika,25, No. 2, (1986).

  9. S. V. Pchelintsev, “On a manifold generated by a free algebra of type (−1, 1) of rank 2,” Sib. Mat. Zh.,22, No. 3, 162–178 (1981).

    Google Scholar 

  10. A. Thedy, “Right alternative rings,” J. Algebra,37, No. 1, 1–43 (1975).

    Google Scholar 

  11. S. V. Pchelintsev, “Prime algebras and absolute divisors of zero,” Izv. Akad. Nauk SSSR, Ser. Mat.,50, No. 1, 79–100 (1986).

    Google Scholar 

  12. V. N. Latyshev, “On the complexity of nonmatrix manifolds of associative algebras,” Algebra Logika,16, No. 2, 149–183 (1977).

    Google Scholar 

Download references

Authors

Additional information

Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 149–158, March–April, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pchelintsev, S.V. Manifolds generated by free algebras of type (−1, 1) of finite rank. Sib Math J 28, 299–306 (1987). https://doi.org/10.1007/BF00970877

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970877

Keywords

Navigation