On ockham algebras: Congruence lattices and subdirectly irreducible algebras

Studia Logica 55 (2):319 - 346 (1995)
Abstract
Distributive bounded lattices with a dual homomorphism as unary operation, called Ockham algebras, were firstly studied by Berman (1977). The varieties of Boolean algebras, De Morgan algebras, Kleene algebras and Stone algebras are some of the well known subvarieties of Ockham algebra. In this paper, new results about the congruence lattice of Ockham algebras are given. From these results and Urquhart's representation theorem for Ockham algebras a complete characterization of the subdirectly irreducible Ockham algebras is obtained. These results are particularized for a large number of subvarieties of Ockham algebras. For these subvarieties a full description of their subdirectly irreducible algebras is given as well.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01061240
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 25,687
Through your library
References found in this work BETA
An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Warszawa, Pwn - Polish Scientific Publishers.
Distributive Lattices.Raymond Balbes & Philip Dwinger - 1977 - Journal of Symbolic Logic 42 (4):587-588.
On the Representation of Quasi-Boolean Algebras.A. Bialynicki-Birula & H. Rasiowa - 1957 - Journal of Symbolic Logic 22 (4):370-370.
Universal Algebra.George Grätzer - 1982 - Studia Logica 41 (4):430-431.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

35 ( #140,673 of 2,143,987 )

Recent downloads (6 months)

5 ( #163,291 of 2,143,987 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums