algebra universalis

, Volume 47, Issue 2, pp 103–138 | Cite as

The variety generated by order algebras

  • R. Freese
  • J. Ježek
  • P. Jipsen
  • P. Marković
  • M. Maróti
  • R. McKenzie

Abstract.

Every ordered set can be considered as an algebra in a natural way. We investigate the variety generated by order algebras. We prove, among other things, that this variety is not finitely based and, although locally finite, it is not contained in any finitely generated variety; we describe the bottom of the lattice of its subvarieties.

Key words and phrases: Order algebra, Variety. 

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Copyright information

© Birkhäuser Verlag Basel, 2002

Authors and Affiliations

  • R. Freese
    • 1
  • J. Ježek
    • 2
  • P. Jipsen
    • 3
  • P. Marković
    • 4
  • M. Maróti
    • 5
  • R. McKenzie
    • 6
  1. 1.University of Hawaii, Honolulu, HI, USAUS
  2. 2.Charles University, Praha, Czech RepublicCZ
  3. 3.University of Cape Town, Cape Town, South AfricaSA
  4. 4.Vanderbilt University, Nashville, TN, USAUS
  5. 5.Vanderbilt University, Nashville, TN, USAUS
  6. 6.Department of Mathematics, University of Honolulu, Correa Road 2525, HI-96822, USAUS

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