Skip to main content
SpringerLink
Log in

Distributivity of certain lattices of varieties of associative rings

  • 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

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. A. Z. Anan'in and A. R. Kemer, “Varieties of associative rings whose lattices of subvarieties are distributive,” Sib. Mat. Zh.,17, No. 4, 723–730 (1976).

    Google Scholar 

  2. Dnestrovskaya Textbook. Unsolved Problems in the Theory of Rings and Modules [in Russian], Novosibirsk (1976).

  3. M. V. Volkov, “Varieties of associative rings with conditions on the lattice of subvarieties,” Manuscript deposited with VINITI, No. 3805-79.

  4. Yu. N. Mal'tsev, “Examples of varieties of associative rings,” Algebra Logika,19, No. 6, 669–675 (1980).

    Google Scholar 

  5. Yu. N. Mal'tsev and I. V. L'vov, “Lattice of var M2 (GF(pn))” Fifteenth All-Union Algebraic Conference. Reports of Papers [in Russian], Krasnoyarsk (1979), p. 95.

  6. I. V. L'vov, “On varieties of associative rings. I,” Algebra Logika,12, No. 3, 269–297 (1973).

    Google Scholar 

  7. J. Cossey, “Critical groups and the lattice of varieties,” Proc. Am. Math. Soc.,20, No. 1, 217–221 (1969).

    Google Scholar 

  8. Yu. N. Mal'tsev, “Varieties of associative algebras whose lattice of subvarieties is not distributive,” in: Algebraic Structures [in Russian], Kishinev (1980), pp. 110–112.

  9. B. M. Vernikov and M. V. Volkov, “Almost chain varieties of alternative rings,” in: Studies in Contemporary Algebra [in Russian], Sverdlovsk (1979), pp. 22–39.

  10. M. V. Volkov, “Lattices of varieties of algebras,” Mat. Sb.,109, No. 1, 60–79 (1979).

    Google Scholar 

  11. Yu. N. Mal'tsev, “Critical algebras,” Algebra Logika,20, No. 2, 155–164 (1981).

    Google Scholar 

  12. Hanna Neumann, Varieties of Groups [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  13. G. Birkhoff, Lattice Theory [Russian translation], IL, Moscow (1952).

    Google Scholar 

  14. M. V. Volkov, “Periodic varieties of associative rings,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 8, 3–13 (1979).

    Google Scholar 

  15. A. I. Mal'tsev, “Multiplication of classes of algebraic systems,” Sib. Mat. Zh.,8, No. 2, 346–365 (1967).

    Google Scholar 

  16. M. V. Volkov, “The finiteness of the basis of identities for certain associative rings,” Sib. Mat. Zh.,22, No. 4, 79–87 (1981).

    Google Scholar 

Download references

Authors
  1. M. V. Volkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Sverdlovsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 6, pp. 23–30, November–December, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Volkov, M.V. Distributivity of certain lattices of varieties of associative rings. Sib Math J 25, 849–855 (1984). https://doi.org/10.1007/BF00968938

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968938

Keywords

Search

Navigation