iBet uBet web content aggregator. Adding the entire web to your favor.
iBet uBet web content aggregator. Adding the entire web to your favor.



Link to original content: https://doi.org/10.1007/s11083-007-9056-2
On Locally Finite Modular Lattice Varieties of Finite Height | Order Skip to main content
Log in

On Locally Finite Modular Lattice Varieties of Finite Height

  • Published:
Order Aims and scope Submit manuscript

Abstract

It is shown that the variety generated by a finite modular lattice has only finitely many locally finite covers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Crawley, P., Dilworth, R.P.: Algebraic Theory of Lattices. Prentice Hall, Englewood Cliffs (1973)

    MATH  Google Scholar 

  2. Herrmann, C., Pickering, D., Roddy, M.: A geometric description of modular lattices. Algebra Univers. 31, 365–396 (1994)

    Article  MATH  Google Scholar 

  3. Hong, D.X.: Covering relations among lattice varieties. Pac. J. Math. 40, 575–603 (1972)

    MATH  Google Scholar 

  4. Jónsson, B.: Equational classes of lattices. Math. Scand. 22, 187–196 (1968)

    MATH  Google Scholar 

  5. Nation, J.B.: An approach to lattice varieties of finite height. Algebra Univers. 27, 521–543 (1990)

    Article  MATH  Google Scholar 

  6. Nation, J.B.: A counterexample to the finite height conjecture. Order 13, 1–9 (1996)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christian Herrmann.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Herrmann, C., Nurakunov, A. On Locally Finite Modular Lattice Varieties of Finite Height. Order 24, 31–37 (2007). https://doi.org/10.1007/s11083-007-9056-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11083-007-9056-2

Keywords

Mathematics Subject Classification (2000)

Navigation