Uniqueness of bounded observables
Uniqueness of representations of a distributive lattice as a free product of a Boolean algebra and a chain
Unital Embedding and Complexification of F-Algebras.
Universal and internal properties of some completions of k-join-semilattices and k-join-distributive partially ordered sets.
Universal and internal properties of some extensions of partially orderd sets.
Universal cyclically ordered sets
Universality of separoids
A separoid is a symmetric relation defined on disjoint pairs of subsets of a given set such that it is closed as a filter in the canonical partial order induced by the inclusion (i.e., and ). We introduce the notion of homomorphism as a map which preserve the so-called “minimal Radon partitions” and show that separoids, endowed with these maps, admits an embedding from the category of all finite graphs. This proves that separoids constitute a countable universal partial order. Furthermore,...
Unoriented graphs of modular lattices
Upper and Lower Bounds in Relator Spaces
2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a nonvoid set X and a nonvoid family R of binary relations on X is called a relator space. Relator spaces are straightforward generalizations not only of uniform spaces, but also of ordered sets. Therefore, in a relator space we can naturally define not only some topological notions, but also some order theoretic ones. It turns out that these two, apparently quite different, types of notions are closely...
Upper bounds on certain functionals defined on groups of linear operators.
Upper semicomplements and a definable element in the lattice of groupoid varieties
Using lattice homomorphisms in decomposition theory
Using maximal ideals in the classification of MV-algebras
Using the generic interval
Utilisation des matrices booléennes pour l'étude des treillis de post