-poproduct of lattices
Mac Neille completion of centers and centers of Mac Neille completions of lattice effect algebras
If element of a lattice effect algebra is central, then the interval is a lattice effect algebra with the new top element and with inherited partial binary operation . It is a known fact that if the set of central elements of is an atomic Boolean algebra and the supremum of all atoms of in equals to the top element of , then is isomorphic to a subdirect product of irreducible effect algebras ([18]). This means that if there exists a MacNeille completion of which is its extension...
Maximal completion of a pseudo MV-algebra
In the present paper we investigate the relations between maximal completions of lattice ordered groups and maximal completions of pseudo -algebras.
Maximale Gegenketten im Verband
Meanders in lattices.
Measurability of functions with values in partially ordered spaces
Measures on coallocation and normal lattices.
Metric-fine uniform frames
A locallic version of Hager’s metric-fine spaces is presented. A general definition of -fineness is given and various special cases are considered, notably all metric frames, complete metric frames. Their interactions with each other, quotients, separability, completion and other topological properties are discussed.
Metrics and tolerances
Métriques bornées définies par des valuations sur un demi-treillis
Metrizable completely distributive lattices
The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.
Metrization of uniform lattices
Minimal algebras in some class of algebras
Minimal bounded lattices with an antitone involution the complemented elements of which do not form a sublattice
Bounded lattices with an antitone involution the complemented elements of which do not form a sublattice must contain two complemented elements such that not both their join and their meet are complemented. We distinguish (up to symmetry) eight cases and in each of these cases we present such a lattice of minimal cardinality.
Minimal compatible tolerances on lattices
Minimal prime subgroups of lattice-ordered groups
Minimal reducible bounds for hom-properties of graphs
Let H be a fixed finite graph and let → H be a hom-property, i.e. the set of all graphs admitting a homomorphism into H. We extend the definition of → H to include certain infinite graphs H and then describe the minimal reducible bounds for → H in the lattice of additive hereditary properties and in the lattice of hereditary properties.
Mixed product decompositions of a directed group
Modular and metric multilattices
Modular functions on multilattices
We prove that every modular function on a multilattice with values in a topological Abelian group generates a uniformity on which makes the multilattice operations uniformly continuous with respect to the exponential uniformity on the power set of .