Skip to main content
Log in

Quasi-identities and quasi-verbal subalgebras

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

A description of a quasi-verbal subalgebra of a universal algebra in terms of the closure with respect to functional operations is given. A basis of quasi-identities of the product of two quasi-varieties of universal algebras is constructed via bases of quasi-identities of the factors.

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.

Similar content being viewed by others

References

  1. A. I. Mal’tsev,Algebraic Systems [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. D. M. Smirnov,Varieties of Algebras [in Russian], Nauka, Novosibirsk (1992).

    MATH  Google Scholar 

  3. A. I. Mal’tsev, “Multiplication of classes of algebraic systems,”Sibirsk. Mat. Zh. [Siberian Math. J.],8, No. 2, 346–365 (1967).

    Google Scholar 

  4. V. M. Kopytov,Lattice-Ordered Groups [in Russian], Nauka, Moscow (1984).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 323–328, March, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Varaksin, S.V. Quasi-identities and quasi-verbal subalgebras. Math Notes 67, 269–273 (2000). https://doi.org/10.1007/BF02676662

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02676662

Key words

Navigation