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).

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

References

• Berman, Joel (1977), "Distributive lattices with an additional unary operation", Aequationes Mathematicae 16 (1): 165–171, doi:10.1007/BF01837887, ISSN 0001-9054, MR0480238 
• Blyth, Thomas Scott (2001), "Ockham algebra", in Hazewinkel, Michiel, Encyclopaedia of Mathematics, Springer, ISBN 978-1556080104, http://eom.springer.de/o/o110030.htm 
• Blyth, Thomas Scott; Varlet, J. C. (1994). Ockham algebras. Oxford University Press. ISBN 9780198599388. 
• 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, MR544616