algebra universalis

, Volume 46, Issue 3, pp 373–387 | Cite as

Congruence join semidistributivity is equivalent to a congruence identity

  • Keith A. Kearnes


We show that a locally finite variety is congruence join semidistributive if and only if it satisfies a congruence identity that is strong enough to force join semidistributivity in any lattice.

Key words and phrases: Congruence identity, congruence variety, join semidistributive lattice, herringbone. 


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Copyright information

© Birkhäuser Verlag Basel, 2001

Authors and Affiliations

  • Keith A. Kearnes
    • 1
  1. 1.Department of Mathematics, University of Louisville, Louisville, KY 40292, USA, e-mail: kearnes@louisville.eduUS

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