The isotone mappings on Ockham algebras

1996 ◽  
Vol 12 (1) ◽  
pp. 43-48
Author(s):  
Fang Jie
Keyword(s):  
Ockham Algebras ◽  
Isotone Mappings

Congruences and Kernel Ideals on a Subclass of Ockham Algebras

Studia Logica ◽  
2014 ◽  
Vol 103 (4) ◽  
pp. 713-731 ◽  
Author(s):  
Xue-Ping Wang ◽  
Lei-Bo Wang
Keyword(s):  
Ockham Algebras

XII.—Quasi-residuated Mappings and Baer Assemblies

1971 ◽  
Vol 69 (2) ◽  
pp. 165-179
Author(s):  
T. S. Blyth ◽  
W. C. Hardy
Keyword(s):  
Ordered Set ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Minimum Element ◽  
Isotone Mappings ◽  
Necessary And Sufficient

SynopsisWe consider, for a given ordered set E with minimum element O, the semigroup Q of O-preserving isotone mappings on E and examine necessary and sufficient conditions under which an element fε Q is such that the left [resp. right] annihilator of f in Q is a principal left [resp. right] ideal of Q generated by a particular type of idempotent. The results obtained lead us to introduce the concept of a Baer assembly which we use to extend to the case of a semilattice the Baer semigroup co-ordinatization theory of lattices. We also derive a co-ordinatization of particular types of semilattice.

Balanced pseudocomplemented Ockham algebras

2007 ◽  
Vol 57 (3) ◽  
pp. 291-302 ◽  
Author(s):  
Jie Fang ◽  
Zhong-Ju Sun
Keyword(s):  
Ockham Algebras

Ockham Algebras with Additional Operators

2004 ◽  
Vol 12 (6) ◽  
pp. 447-459
Author(s):  
Aldo V. Figallo ◽  
Paolo Landini ◽  
Alicia Zilliani
Keyword(s):  
Ockham Algebras

scholarly journals Distributive Ockham algebras: free algebras and injectivity

1981 ◽  
Vol 24 (2) ◽  
pp. 161-203 ◽  
Author(s):  
Moshe S. Goldberg
Keyword(s):  
Distributive Lattices ◽  
Free Algebras ◽  
Subdirectly Irreducible ◽  
Irreducible Algebra ◽  
Subdirectly Irreducible Algebra ◽  
Ockham Algebras ◽  
Subdirectly Irreducibles ◽  
Priestley's Duality

This paper centres around the variety 0 of distributive Ockham algebras, and those subvarieties of 0 which are generated by a single finite subdirectly irreducible algebra A. We use H.A. Priestley's duality for bounded distributive lattices throughout. First, intrinsic descriptions of the duals of certain finite subdirectly irreducibles are given; these are later used to determine projectives in the dual categories. Next, left adjoints to the forgetful functors from 0 and Var(A) into bounded distributive lattices are obtained, thereby allowing us to describe all free algebras and coproducts of arbitrary algebras. Finally, by applying the duality, we characterize injectivity in Var(A) for each finite subdirectly irreducible algebra A.

Minimal Ockham algebras

2012 ◽  
Vol 67 (4) ◽  
pp. 393-395
Author(s):  
H. J. Silva
Keyword(s):  
Ockham Algebras

scholarly journals Counting relations on Ockham algebras

2015 ◽  
Vol 74 (1-2) ◽  
pp. 35-63 ◽  
Author(s):  
Brian A. Davey ◽  
Long T. Nguyen ◽  
Jane G. Pitkethly
Keyword(s):  
Ockham Algebras

Extended ockham algebras

2000 ◽  
Vol 28 (3) ◽  
pp. 1271-1284 ◽  
Author(s):  
T. S. Blyth ◽  
Jie Fang
Keyword(s):  
Ockham Algebras
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