Skip to main content
SpringerLink
Log in

The number of monounary algebras

  • Published:
Algebra universalis Aims and scope Submit manuscript

Abstract

In this note we give an asymptotic estimate for the number of finite non-isomorphic monounary algebras of a given size.

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. Drmota M.: Random Trees. An Interplay between Combinatorics and Probability. Springer, Vienna (2009)

    MATH  Google Scholar 

  2. Jakubíková-Studenovská D., Pócs J.: Monounary Algebras. UPJS, Kosice (2009)

    MATH  Google Scholar 

  3. Otter R.: The number of trees. Ann. of Math. (2) 49, 583–599 (1948)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, Pf. 12, Debrecen, 4010, Hungary

    Gábor Horváth

  2. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, H-6720, Szeged, Hungary

    Kamilla Kátai-Urbán

  3. Department of Algebra and Number Theory, Eötvös Loránd University, Pázmány Péter sétány 1/c, 1117, Budapest, Hungary

    Péter Pál Pach, Gabriella Pluhár & Csaba Szabó

  4. Central European University, Budapest, Hungary

    András Pongrácz

Authors
  1. Gábor Horváth
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kamilla Kátai-Urbán
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Péter Pál Pach
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Gabriella Pluhár
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Csaba Szabó
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. András Pongrácz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Csaba Szabó.

Additional information

Presented by J. Berman.

The research of the authors was supported by the Hungarian National Foundation for Scientific Research Grants K67870 and K83219.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Horváth, G., Kátai-Urbán, K., Pach, P.P. et al. The number of monounary algebras. Algebra Univers. 66, 81 (2011). https://doi.org/10.1007/s00012-011-0147-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00012-011-0147-y

2010 Mathematics Subject Classification

Key words and phrases

Search

Navigation