On the number of monotonic functions from two-valued logic to -valued logic
On the order-completion of additive conjoint structures.
On the paracompactness of frames
Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.
On the Realization of Convex Polytopes, Euler's Formula and Möbius Functions (Short Communication)
On the Realization of Convex Polytopes, Euler's Formula and Möbius Functions
On the reduction of a random basis
For p ≤ n, let b1(n),...,bp(n) be independent random vectors in with the same distribution invariant by rotation and without mass at the origin. Almost surely these vectors form a basis for the Euclidean lattice they generate. The topic of this paper is the property of reduction of this random basis in the sense of Lenstra-Lenstra-Lovász (LLL). If is the basis obtained from b1(n),...,bp(n) by Gram-Schmidt orthogonalization, the quality of the reduction depends upon the sequence of ratios...
On the representation of lattices by subsemigroup lattices of bands.
On the rhomboidal heredity in ideal lattices
We show that the class of principal ideals and the class of semiprime ideals are rhomboidal hereditary in the class of modular lattices. Similar results are presented for the class of ideals with forbidden exterior quotients and for the class of prime ideals.
On the Scott topology on the set of continuous maps
On the semilattice of extensions of a partial algebra
On the special context of independent sets
In this paper the context of independent sets is assigned to the complete lattice (P(M),⊆) of all subsets of a non-empty set M. Some properties of this context, especially the irreducibility and the span, are investigated.
On the structure of quasi-ordering lattices
On the subsemilattices of first-order definable and openly first-order definable congruences of the congruence lattice of a universal algebra.
On the surjectivity of the Ribenboim representation of a lattice ordered group.
On the tolerance extension property
On the variety Csub
The variety of lattices generated by lattices of all convex sublattices of distributive lattices is investigated.
On the Word Problem for the Modular Lattice with Four Free Generators.
On topologies convexly compatible with the ordering
On valuation in semilattices
On varieties of regular -semigroups