Skip to main content
SpringerLink
Log in

Nonstandard varieties of pseudotopological algebraic systems

  • 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.

Literature Cited

  1. A. I. Mal'tsev, “On the general theory of algebraic systems,” Mat. Sb.,35, 3–20 (1954).

    Google Scholar 

  2. A. I. Mal'tsev, “Free topological algebras,” Izv. Akad. Nauk SSSR, Ser. Mat.,21, 171–198 (1957).

    Google Scholar 

  3. W. Taylor, “Varieties of topological algebras,” J. Austral. Math. Soc.,23A, No. 2, 207–241 (1977).

    Google Scholar 

  4. I. V. Protasov, “Varieties of topological algebras,” Sib. Mat. Zh.,25, No. 5, 125–134 (1984).

    Google Scholar 

  5. V. A. Molchanov, “Applications of the theory of binary relations in topology,” in: The Theory of Semigroups and Its Applications. Applications of Algebraic Methods [in Russian], Izd. Saratov, Gos. Univ., Saratov (1987), pp. 46–59.

    Google Scholar 

  6. V. A. Molchanov, “Application of iterated nonstandard extensions in topology,” Sib. Mat. Zh.,30, No. 3, 64–71 (1989).

    Google Scholar 

  7. C. Caratheodory, “Stetige Konvergenz und normale Familien von Funktionen,” Math. Ann.,101, 515–533 (1929).

    Google Scholar 

  8. “Convergence structures in topology and analysis,” Math. Forschungsints. Oberwolfach.,54, 1–26 (1987).

  9. H. R. Fischer, “Limersträume,” Math. Ann.,137, 269–303 (1959).

    Google Scholar 

  10. M. Davis, Applied Nonstandard Analysis [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  11. C. H. Cook and H. R. Fisher, “On equicontinuity and continuous convergence,” Math. Ann.,159, 94–104 (1965).

    Google Scholar 

  12. C. H. Cook and H. R. Fischer, “Regular convergence spaces,” Math. Ann.,174, 1–7 (1967).

    Google Scholar 

  13. P. Cohn, Universal Algebra, Harper and Row, New York (1965).

    Google Scholar 

  14. V. A Mochanov, “Regular convergence spaces,” The Theory of Semigroups and Its Applications. Questions of Axiomatization [in Russian], Izd. Saratov, Gos. Univ., Saratov (1988), pp. 41–49.

    Google Scholar 

  15. G. Birkhoff, “On the structure of abstract algebras,” Proc. Cambridge Phil. Soc.,31, 433–454 (1935).

    Google Scholar 

  16. M. M. Choban, “On the theory of topological algebraic systems,” Trudy Mosk. Mat. Obshch.,48, 106–149 (1985).

    Google Scholar 

  17. Yu. L. Ershov and E. A. Palyutin, Mathematical Logic [in Russian], Nauka, Moscow (1979).

    Google Scholar 

Download references

Authors
  1. V. A. Molchanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Saratov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 104–112, May–June, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Molchanov, V.A. Nonstandard varieties of pseudotopological algebraic systems. Sib Math J 32, 437–443 (1991). https://doi.org/10.1007/BF00970480

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970480

Keywords

Search

Navigation