Skip to main content
SpringerLink
Log in

Local methods for Rosenberg relations

  • Published:
Algebra universalis Aims and scope Submit manuscript

Abstract

In this paper, we develop local methods for studying the structure of the weak Krasner algebras generated by Rosenberg relations. In particular, this gives a complete understanding of the distributive lattices of m-ary relations in these algebras. Such knowledge is crucial for the enumeration of all relations whose endomorphism monoid is a supermonoid of the endomorphism monoid of a Rosenberg relation.

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. Aichinger E., Mašulović D., Pöschel D., Wilson J.S.: Completeness for concrete near-rings. J. Algebra 279, 61–78 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  2. Krokhin, A.A.: Monoidal intervals in lattices of clones. Algebra i Logika 34, 288–310, 364 (1995)

    Google Scholar 

  3. Lau D.: Bestimmung der Ordnung maximaler Klassen von Funktionen der k-wertigen Logik. Z. Math. Logik Grundlag. Math. 24, 79–96 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  4. Mašulović, D.: On a completeness criterion for 0-symmetric near-rings. Preprint MATH-AL-17-2002, TU Dresden (2002)

  5. Mašulović D.: On traces of maximal clones. Novi Sad J. Math. 35, 161–185 (2005)

    MATH  MathSciNet  Google Scholar 

  6. Pech, M.: On local methods for traces of maximal clones. Preprint MATH-AL-02-2005, TU Dresden (2005)

  7. Pech M., Mašulović D.: On the height of the poset of endomorphism monoids of regular relations. Journal of Multiple-Valued Logic and Soft Computing. 15, 81–94 (2009)

    MathSciNet  Google Scholar 

  8. Ponjavić, M.: On the structure of the poset of endomorphism monoids of central relations. In: Contributions to general algebra 16, pp. 189–197. Heyn, Klagenfurt (2005)

  9. Ponjavić, M., Mašulović, D.: On chains and antichains in the partially ordered set of traces of maximal clones. In: Contributions to general algebra 15, pp. 119–134. Heyn, Klagenfurt (2004)

  10. Pöschel, R., Kalužnin, L.A.: Funktionen- und Relationenalgebren. Mathematische Monographien [Mathematical Monographs], Vol. 15. VEB Deutscher Verlag der Wissenschaften, Berlin (1979)

  11. Pöschel, R., Radeleczki, S.: Private communication.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia

    Maja Pech

Authors
  1. Maja Pech
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Maja Pech.

Additional information

Presented by R. Pöschel.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pech, M. Local methods for Rosenberg relations. Algebra Univers. 63, 65–82 (2010). https://doi.org/10.1007/s00012-010-0065-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00012-010-0065-4

2000 Mathematics Subject Classification

Key words and phrases

Search

Navigation