Skip to main content
SpringerLink
Log in

Term operations in \(\mathcal {V}(N_5)\)

  • Published:
Algebra universalis Aims and scope Submit manuscript

Abstract

Define a lattice to be order endoprimal if every order preserving operation on the lattice which is preserved by all endomorphisms is a term operation. We prove that every lattice in the variety generated by \(\mathbf{N}_5\) is order endoprimal.

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. Baker, K., Pixley, A.: Polynomial interpolation and the Chinese remainder theorem for algebraic systems. Math. Z. 143, 165–174 (1975)

    Article  MathSciNet  Google Scholar 

  2. Bergman, G.: On the existence of subalgebras of direct products with prescribed \(d\)-fold projections. Algebra Universalis 7, 341–356 (1977)

    Article  MathSciNet  Google Scholar 

  3. Davey, B.A.: Dualisability in general and endodualisability in particular. In: Logic and Algebra (Pontignano, 1994), Lecture Notes in Pure and Appl. Math., vol. 180, pp. 437–455, Dekker, New York (1996)

    Chapter  Google Scholar 

  4. Davey, B.A., Haviar, M., Priestley, H.A.: Endoprimal distributive lattices are endodualisable. Algebra Universalis 34(3), 444–453 (1995)

    Article  MathSciNet  Google Scholar 

  5. Hegedűs, P., Pálfy, P.: Finite modular congruence lattices. Algebra Universalis 54, 105–120 (2005)

    Article  MathSciNet  Google Scholar 

  6. Márki, L., Pöschel, R.: Endoprimal distributive lattices. Algebra Universalis 30(2), 272–274 (1993)

    Article  MathSciNet  Google Scholar 

  7. McKenzie, R., McNulty, G., Taylor, W.: Algebras, Lattices, Varieties, vol. I. Wadsworth and Brooks/Cole, Monterey (1987)

    MATH  Google Scholar 

  8. Pöschel, R., Kalužnin, L.A.: Funktionen und Relationenalgebren. Birkhäuser, Basel (1979)

    Book  Google Scholar 

  9. Post, E.: The Two-Valued Iterative Systems of Mathematical Logic. Annals of Math. Studies. Princeton University Press, Princeton (1941)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Mary Hardin-Baylor, Belton, TX, USA

    John W. Snow

Authors
  1. John W. Snow
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to John W. Snow.

Additional information

Dedicated to Ralph Freese, Bill Lampe, and J.B. Nation.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This article is part of the topical collection “Algebras and Lattices in Hawaii” edited by W. DeMeo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Snow, J.W. Term operations in \(\mathcal {V}(N_5)\). Algebra Univers. 80, 34 (2019). https://doi.org/10.1007/s00012-019-0607-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00012-019-0607-3

Keywords

Mathematics Subject Classification

Search

Navigation