Ockham Algebra
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Ockham Algebra

In mathematics, an Ockham algebra is a bounded distributive lattice with a dual endomorphism. They were introduced by Berman (1977), and were named after William of Ockham by Urquhart (1979). Ockham algebras form a variety.

Examples of Ockham algebras include Boolean algebras, De Morgan algebras, Kleene algebras, and Stone algebras.


  • Berman, Joel (1977), "Distributive lattices with an additional unary operation", Aequationes Mathematicae, 16 (1): 165-171, doi:10.1007/BF01837887, ISSN 0001-9054, MR 0480238 (pdf available from GDZ)
  • Blyth, Thomas Scott (2001) [1994], "Ockham algebra", in Hazewinkel, Michiel (ed.), Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4
  • Blyth, Thomas Scott; Varlet, J. C. (1994). Ockham algebras. Oxford University Press. ISBN 978-0-19-859938-8.
  • Urquhart, Alasdair (1979), "Distributive lattices with a dual homomorphic operation", Polska Akademia Nauk. Institut Filozofii i Socijologii. Studia Logica, 38 (2): 201-209, doi:10.1007/BF00370442, ISSN 0039-3215, MR 0544616

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