From Wikipedia, the free encyclopedia
In mathematics, an Ockham algebra is a
bounded
distributive lattice
with a
dual endomorphism, that is, an operation
satisfying
,
,
,
.
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.
References
- 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",
Encyclopedia of Mathematics,
EMS Press
- 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,
hdl:
10338.dmlcz/102014,
ISSN
0039-3215,
MR
0544616