Skip to main content
Log in

Varieties with a countable number of subquasivarieties

  • 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. M. V. Sapir, “Varieties with a finite number of subquasivarieties,” Sib. Mat. Zh.,22, No. 6, 168–187 (1981).

    Google Scholar 

  2. A. N. Fedorov, “Subquasivarieties of nilpotent minimal non-Abelian varieties of groups,” Sib. Mat. Zh.,21, No. 6, 117–131 (1980).

    Google Scholar 

  3. A. Yu. Ol'shanskii, “Conditional identities in finite groups,” Sib. Mat. Zh.,15, No. 6, 1409–1413 (1974).

    Google Scholar 

  4. M. V. Sapir, “Quasivarieties of semigroups,” XV All-Union Algebraic Conference, Lecture Theses 2, Krasnoyarsk (1979), pp. 132–133.

  5. É. A. Golubov and M. V. Sapir, “Varieties of finitely approximable semigroups,” Dokl. Akad. Nauk SSSR,247, No. 5, 1037–1041 (1979).

    Google Scholar 

  6. J. M. Brady, “On solvable just-non-Cross varieties of groups,” Bull. Austr. Math. Soc.,3, No. 3, 313–323 (1970).

    Google Scholar 

  7. A. H. Clifford and G. B. Preston, Algebraic Theory of Semigroups, Amer. Math. Soc. (1967).

  8. M. Petrich, Introduction to Semigroups, Merrill Books, Columbus (Ohio) (1973).

    Google Scholar 

  9. M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Groups Theory [in Russian], Nauka, Moscow (1972).

    Google Scholar 

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

    Google Scholar 

  11. A. P. Zamyatin, “Varieties of associative rings whose elementary theory is solvable,” Dokl. Akad. Nauk SSSR,17, 996–999 (1976).

    Google Scholar 

  12. M. Petrich, “All subvarieties of a certain variety of semigroups,” Semigroup Forum,4, No. 1, 104–152 (1974).

    Google Scholar 

  13. É. A. Golubov, “Finite separability in semigroups,” Sib. Mat. Zh.,11, No. 6, 1247–1263 (1970).

    Google Scholar 

  14. T. Evans, “The lattice of semigroup varieties,” Semigroup Forum,2, No. 1, 1–43 (1971).

    Google Scholar 

  15. Yu. L. Ershov, “On elementary theories of groups,” Dokl. Akad. Nauk SSSR,203, No. 6, 1240–1243 (1972).

    Google Scholar 

  16. A. Yu. Ol'shanskii, “Varities of finitely approximable groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 6, 915–927 (1969).

    Google Scholar 

  17. A. Yu. Ol'shanskii, “Solvable almost Cross varieties of groups,” Mat. Sb.,85, No. 1, 115–131 (1971).

    Google Scholar 

  18. M. V. Sapir, “The lattice of quasivarieties of idempotent semigroups,” in: Studies in Contemporary Algebra [in Russian], Sverdlovsk (1979), pp. 158–169.

  19. A. A. Vinogradov, “Quasivarieties of Abelian groups,” Algebra Logika,4, No. 6, 15–19 (1965).

    Google Scholar 

  20. M. V. Sapir, “On quasivarieties generated by finite semigroups,” Semigroup Forum,20, No. 1, 73–88 (1980).

    Google Scholar 

  21. Sverdlovsk Notebook (unsolved problems in the theory of semigroups), 2, Serdlovsk (1979(.

  22. H. Neumann, Varieties of Groups [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  23. L. A. Shemetkov, Formations of Finite Groups [in Russian], Nauka, Moscow (1978).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 3, pp. 148–163, May–June, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sapir, M.V. Varieties with a countable number of subquasivarieties. Sib Math J 25, 461–473 (1984). https://doi.org/10.1007/BF00968987

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968987

Keywords

Navigation