Dumont's statistic on words.
Dynamical properties of the automorphism groups of the random poset and random distributive lattice
A method is developed for proving non-amenability of certain automorphism groups of countable structures and is used to show that the automorphism groups of the random poset and random distributive lattice are not amenable. The universal minimal flow of the automorphism group of the random distributive lattice is computed as a canonical space of linear orderings but it is also shown that the class of finite distributive lattices does not admit hereditary order expansions with the Amalgamation Property....
Edge theorem for finite partially ordered sets
Effect algebras and ring-like structures
The dichotomic physical quantities, also called propositions, can be naturally associated to maps of the set of states into the real interval [0,1]. We show that the structure of effect algebra associated to such maps can be represented by quasiring structures, which are a generalization of Boolean rings, in such a way that the ring operation of addition can be non-associative and the ring multiplication non-distributive with respect to addition. By some natural assumption on the effect algebra,...
Efficient algorithms on the Moore family associated to an implicational system.
Efficient calculation of the Reed-Muller form by means of the Walsh transform
The paper describes a spectral method for combinational logic synthesis using the Walsh transform and the Reed-Muller form. A new algorithm is presented that allows us to obtain the mixed polarity Reed-Muller expansion of Boolean functions. The most popular minimisation (sub-minimisation) criterion of the Reed-Muller form is obtained by the exhaustive search of all the polarity vectors. This paper presents a non-exhaustive method for Reed-Muller expansions. The new method allows us to build the...
Egoroff, σ, and convergence properties in some archimedean vector lattices
An archimedean vector lattice A might have the following properties: (1) the sigma property (σ): For each there are and a ∈ A with λₙaₙ ≤ a for each n; (2) order convergence and relative uniform convergence are equivalent, denoted (OC ⇒ RUC): if aₙ ↓ 0 then aₙ → 0 r.u. The conjunction of these two is called strongly Egoroff. We consider vector lattices of the form D(X) (all extended real continuous functions on the compact space X) showing that (σ) and (OC ⇒ RUC) are equivalent, and equivalent...
Ein Assoziativitätskriterium vom Foulis-Holland-Typ.
Ein Beitrag zur Theorie der Orthogonalität auf Mengen
Ein Distributivitätskriterium für Verbände.
Ein neues Axiomensystem für Boolesche Verbände.
Ein Untergruppensatz für modulare Gruppen.
Eindeutigkeit des Darstellungsraumes von Vektorverbänden.
Eine Bemerkung über die -Dimension geordneter Mengen
Eine Bemerkung über Kardinalpotenzen
Eine Bemerkung zum Kardinalprodukt
Eine Charakterisierung der Boole'schen Algebra zu einer ...-direkten Zerlegung.
Eine Kennzeichnung topologischer Räume durch Vervollständigungen.
Eine Systematisierung konvexer Vierecke der Ebene aus verbandstheoretischer Sicht
Eine Verallgemeinerung eines Satzes von Kurata.