Another look at the localic Tychonoff theorem
Another note on countable Boolean algebras
We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.
Antichains in the homomorphism order of graphs
Let and , respectively, denote the partially ordered sets of homomorphism classes of finite undirected and directed graphs, respectively, both ordered by the homomorphism relation. Order theoretic properties of both have been studied extensively, and have interesting connections to familiar graph properties and parameters. In particular, the notion of a duality is closely related to the idea of splitting a maximal antichain. We construct both splitting and non-splitting infinite maximal antichains...
Antichains of multisets.
Antimorphisms of partially ordered sets
Any distributive lattice is determined by a semigroup from a certain class.
Any orthomodular poset is a pasting of Boolean algebras
Aplicaciones de Galois en conjuntos ordenados y en retículos.
Aplikace theorie uspořádaných kontinuí na Booleovy algebry
Application of the factorization theorem for Stone algebras in locales [Abstract of thesis]
Applications galoisiennes proches d'une application entre treillis
Applications of the theory of partially ordered sets to cluster analysis
Approximable concepts, Chu spaces, and information systems.
Approximate maps, filter monad, and a representation of localic maps
A covariant representation of the category of locales by approximate maps (mimicking a natural representation of continuous maps between spaces in which one approximates points by small open sets) is constructed. It is shown that it can be given a Kleisli shape, as a part of a more general Kleisli representation of meet preserving maps. Also, we present the spectrum adjunction in this approximation setting.
Approximation Spacesin Non-commutative Generalizations of -algebras
Generalized MV-algebras (= GMV-algebras) are non-commutative generalizations of MV-algebras. They are an algebraic counterpart of the non-commutative Łukasiewicz infinite valued fuzzy logic. The paper investigates approximation spaces in GMV-algebras based on their normal ideals.
Approximation Theorems for ordered groups with quasi-divisors Theory
Äquivalenz- und Ordnungsrelationen
Archimedean atomic lattice effect algebras in which all sharp elements are central
We prove that every Archimedean atomic lattice effect algebra the center of which coincides with the set of all sharp elements is isomorphic to a subdirect product of horizontal sums of finite chains, and conversely. We show that every such effect algebra can be densely embedded into a complete effect algebra (its MacNeille completion) and that there exists an order continuous state on it.
Archimedean atomic lattice effect algebras with complete lattice of sharp elements.
Archimedean classes in an ordered semigroup. I