Skip to main content
Log in

Identities of semigroups of relations with an operator of reflexive double cylindrification

  • Published:
Russian Mathematics Aims and scope Submit manuscript

Abstract

In the paper we find a basis of identities for the variety generated by semigroups of relations with an operation of reflexive double cylindrification.

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. Tarski, A. “On the Calculus of Relations,” J. Symbolic Logic, No. 4, 73–89 (1941).

    Google Scholar 

  2. Schein, B.M. “Relation Algebras and Function Semigroups,” Semigroup Forum 1(1), 1–62 (1970).

    Article  MATH  MathSciNet  Google Scholar 

  3. Bredikhin, D. A. “Relation Algebras with Diophantine Operations,” Dokl.Math. 57, No. 3, 435–436 (1998).

    Google Scholar 

  4. Bredikhin, D. A. “On Quasi-Identities of Relation Algebras with Diophantine Operations,” Sib. Math. J. 38, No. 1, 23–33 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  5. Böner, P. and Pöschel, F. R. “Clones of Operations on Binary Relations,” Contributions to General Algebra 7, 50–70 (1991).

    Google Scholar 

  6. Henkin, L., Monk, J. D., and Tarski, A. Cylindric Algebras (North-Holland, Amsterdam, 1971).

    MATH  Google Scholar 

  7. Kuhn, S. “The Domino Relations: Flattening a Two-Dimensional Logic,” J. Philosophical Logic 18, 173–195 (1989).

    Article  MATH  Google Scholar 

  8. Venema, Y. Many-Dimensional Modal Logic (Universiteit van Amsterdam, Amsterdam, 1989).

    Google Scholar 

  9. Jónsson, B. “Varieties of Relation Algebras,” Algebra Univers. 54, 273–299 (1982).

    Article  Google Scholar 

  10. Schein, B. M. “Representation of Involuted Semigroups by Binary Relations,” Fundam. Math. 82, No. 2, 121–141 (1974).

    MATH  MathSciNet  Google Scholar 

  11. Bredikhin, D. A. “On Varieties of Aemigroups of Relations with Operations of Cylindrification,” Contributions to General Algebra 16, 1–6 (2005).

    MathSciNet  Google Scholar 

  12. Bredikhin, D. A. “Equational Theory of Relation Algebras with Positive Operations,” Russian Mathematics (Iz. VUZ) 37(3), 21–28 (1993).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. A. Bredikhin.

Additional information

Original Russian Text © D.A. Bredikhin, A.V. Popovich, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 8, pp. 90–95.

(Submitted by L.N. Shevrin)

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bredikhin, D.A., Popovich, A.V. Identities of semigroups of relations with an operator of reflexive double cylindrification. Russ Math. 58, 74–77 (2014). https://doi.org/10.3103/S1066369X14080106

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X14080106

Keywords

Navigation