Skip to main content
SpringerLink
Log in

Abstract Characteristic of the Class of Unitary Positional Algebras of Operations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We find an abstract characteristic of the class of unitary positional algebras of operations, i.e., algebras that contain a complete collection of selectors.

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

Similar content being viewed by others

REFERENCES

  1. V. D. Belousov, n-ary Quasigroups [in Russian], Shtiintsa, Kishinev (1972).

    Google Scholar 

  2. G. C\(u \vee \)pona, “On finite operations,” God. Zb. Prirod.-Mat. Fak. Univ. Skopje, 12, 7–49 (1959).

  3. A. I. Mal'tsev, “Iterative algebras and Post varieties,” Algebra Logika, 5, No. 2, 5–24 (1966).

    Google Scholar 

  4. V. D. Belousov, “Balanced identities in algebras of quasigroups,” Aequat. Math., 8, Fasc. 1/2, 1–73 (1972).

    Google Scholar 

  5. F. N. Sokhatskii, “On positional algebras,” in: Quasigroups and Latin Squares [in Russian], Shtiintsa, Kishinev (1987), pp. 101–120.

    Google Scholar 

  6. F. N. Sokhatskii, “Positional algebras. Belousov algebras,” in: Quasigroups [in Russian], Shtiintsa, Kishinev (1983), pp. 107–117.

    Google Scholar 

  7. F. Sokhats'kyi, “Abstract characteristic of selective positional algebras,” in: Abstracts of the Fifth Kravchuk International Conference in Mathematics, Kiev (1996).

Download references

Author information

Authors and Affiliations

  1. Vinnitsa Pedagogic University, Vinnitsa

    F. M. Sokhats'kyi

Authors
  1. F. M. Sokhats'kyi
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sokhats'kyi, F.M. Abstract Characteristic of the Class of Unitary Positional Algebras of Operations. Ukrainian Mathematical Journal 54, 1159–1168 (2002). https://doi.org/10.1023/A:1022070526907

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022070526907

Keywords

Search

Navigation