On the Frattini subalgebra of a Stone algebra
On the height of order ideals
We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.
On the intersection of maximal filters in distributive lattices
On the lattice of additive hereditary properties of finite graphs
In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.
On the lattice of n-filters of an LM n-algebra
For an n-valued Łukasiewicz-Moisil algebra L (or LM n-algebra for short) we denote by F n(L) the lattice of all n-filters of L. The goal of this paper is to study the lattice F n(L) and to give new characterizations for the meet-irreducible and completely meet-irreducible elements on F n(L).
On the Maćkowiak-Tymchatyn theorem
On The Modularity Of Some Orderable Cross-Lattices
On the modularity of the lattice of fundamental orders on a semilattice.
On the MS-algebras of the unit cube
On the number of distributive lattices.
On the paracompactness of frames
Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.
On the relationship between projective distributive lattices and Boolean algebras.
On the -completeness of pseudo MV-algebras
On translations in quasidistributive semilattices
On varieties of pseudo -algebras
In this paper we investigate the relation between the lattice of varieties of pseudo -algebras and the lattice of varieties of lattice ordered groups.
On -continuous tolerances of -distributive lattices
One-variable equationally compact distributive lattices
Open problems posed at the eighth international conference on fuzzy set theory and applications
Several open problems posed during FSTA 2006 (Liptovský Ján, Slovakia) are presented. These problems concern the classification of strict triangular norms, Lipschitz t-norms, interval semigroups, copulas, semicopulas and quasi- copulas, fuzzy implications, means, fuzzy relations, MV-algebras and effect algebras.
Operators on -algebras
Closure -algebras are introduced as a commutative generalization of closure -algebras, which were studied as a natural generalization of topological Boolean algebras.
Optimal natural dualities for some quasivarities of distributive double -algebras.