Homomorphisms of contexts and isomorphisms of concept lattices
Homomorphisms of direct powers of algebras
How many four-generated simple lattices
Ideal systems and lattice theory.
Ideals in distributive posets
We prove that any ideal in a distributive (relative to a certain completion) poset is an intersection of prime ideals. Besides that, we give a characterization of n-normal meet semilattices with zero, thus generalizing a known result for lattices with zero.
Ideals of binary relational systems
Incidence structures and closure spaces
Incidence structures of independent sets
Incidence structures of type
Every incidence structure (understood as a triple of sets , ) admits for every positive integer an incidence structure where () consists of all independent -element subsets in () and is determined by some bijections. In the paper such incidence structures are investigated the ’s of which have their incidence graphs of the simple join form. Some concrete illustrations are included with small sets and .
Intersection Graphs of Lattices
Intersection Graphs of Semilattices
Intervals, convex sublattices and subdirect representations of lattices
Irreducibility and generation in continuous lattices.
Isomorphismen von Kontexten und Konzeptualverbänden
Isomorphismes de lattis de fermés convexes
Joins of congruences in -groups
Jordan-Hölder Theorem for Lines
Lattice betweenness relation and a generalization of König's lemma
Lattices and semilattices having an antitone involution in every upper interval
We study -semilattices and lattices with the greatest element 1 where every interval [p,1] is a lattice with an antitone involution. We characterize these semilattices by means of an induced binary operation, the so called sectionally antitone involution. This characterization is done by means of identities, thus the classes of these semilattices or lattices form varieties. The congruence properties of these varieties are investigated.
Lattices in quasiordered sets