Search
Search Results
-
-
-
On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras
A 2-dimension linguistic lattice implication algebra (2DL-LIA) can build a bridge between logical algebra and 2-dimension fuzzy linguistic...
-
-
On Nontrivial Weak Dicomplementations and the Lattice Congruences that Preserve Them
We study the existence of nontrivial and of representable (dual) weak complementations, along with the lattice congruences that preserve them, in...
-
z-ideals in lattices
In this paper, we define z -ideals in bounded lattices. A separation theorem for the existence of prime z -ideals is proved in distributive lattices....
-
On principal congruences and the number of congruences of a lattice with more ideals than filters
Let λ and κ be cardinal numbers such that κ is infinite and either 2 ≤ λ ≤ κ , or λ = 2 κ . We prove that there exists a lattice L with exactly λ many...
-
A note on the distribution of angles associated to indefinite integral binary quadratic forms
To each indefinite integral binary quadratic form Q , we may associate the geodesic in ℍ through the roots of quadratic equation Q ( x , 1). In this...
-
Congruences on near-Heyting algebras
A near-Heyting algebra is a join-semilattice with a top element such that every principal upset is a Heyting algebra. We establish a one-to-one...
-
Some preliminary results on the set of principal congruences of a finite lattice
In the second edition of the congruence lattice book, Problem 22.1 asks for a characterization of subsets Q of a finite distributive lattice D such...
-
Minimal representations of a finite distributive lattice by principal congruences of a lattice
Let the finite distributive lattice D be isomorphic to the congruence lattice of a finite lattice L . Let Q denote those elements of D that correspond...
-
Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem
A new result of G. Czédli states that for an ordered set P with at least two elements and a group G , there exists a bounded lattice L such that the...
-
On the set of principal congruences in a distributive congruence lattice of an algebra
Let Q be a subset of a finite distributive lattice D . An algebra A represents the inclusion Q ⊆ D by principal congruences if the congruence lattice...
-
Homomorphisms and principal congruences of bounded lattices. II. Sketching the proof for sublattices
A recent result of G. Czédli relates the ordered set of principal congruences of a bounded lattice L with the ordered set of principal congruences of...
-
Kernel ideals and cokernel filters of a p-algebra
We discuss congruences of p-algebras. We characterize kernel ideals of a p-algebra. Indeed, we show that an ideal of a p-algebra is a p-ideal if and...
-
Meet-Semilattice Congruences on a Frame
The congruence lattice of a frame has long been an object of considerable interest, not least because it turns out to be a frame itself. Perhaps more...
-
Strictly Zero-Dimensional Biframes and a Characterisation of Congruence Frames
Strictly zero-dimensional biframes were introduced by Banaschewski and Brümmer as a class of strongly zero-dimensional biframes including the...
-
When a line graph associated to annihilating-ideal graph of a lattice is planar or projective
Let ( L ,∧, ∨) be a finite lattice with a least element 0. A G ( L ) is an annihilating-ideal graph of L in which the vertex set is the set of all...