Asymptotic ordering of distribution functions and convolution semigroups.
Atanassov’s Intuitionistic Fuzzy Ideals of Po--Semigroups
Atomicity of lattice effect algebras and their sub-lattice effect algebras
We show some families of lattice effect algebras (a common generalization of orthomodular lattices and MV-effect algebras) each element E of which has atomic center C(E) or the subset S(E) of all sharp elements, resp. the center of compatibility B(E) or every block M of E. The atomicity of E or its sub-lattice effect algebras C(E), S(E), B(E) and blocks M of E is very useful equipment for the investigations of its algebraic and topological properties, the existence or smearing of states on E, questions...
Atomicity of the Boolean algebra of direct factors of a directed set
In the present paper we deal with the relations between direct product decompositions of a directed set and direct product decompositions of intervals of .
Atomicity of tolerance lattices
Atomicity of tolerance lattices of commutative semigroups
Atomistic Wilcox lattices in which the ideal of the finite elements is standard
Atoms and Generators in Boolean -Algebras
Atoms in lattice of radical classes of lattice-ordered groups
There are several special kinds of radical classes. For example, a product radical class is closed under forming product, a closed-kernel radical class is closed under taking order closures, a -radical class is closed under taking -isomorphic images, a polar kernel radical class is closed under taking double polars, etc. The set of all radical classes of the same kind is a complete lattice. In this paper we discuss atoms in these lattices. We prove that every nontrivial element in these lattices...
Automorphism Groups of Finite Distributive Lattices with a Given Sublattice of Fixed Points.
Automorphism Groups of Posets and Lattices with a Given Subset of Fixed Points.
Automorphismen geordneter Mengen
Automorphisms of concrete logics
The main result of this paper is Theorem 3.3: Every concrete logic (i.e., every set-representable orthomodular poset) can be enlarged to a concrete logic with a given automorphism group and with a given center. Since every sublogic of a concrete logic is concrete, too, and since not every state space of a (general) quantum logic is affinely homeomorphic to the state space of a concrete logic [8], our result seems in a sense the best possible. Further, we show that every group is an automorphism...
Automorphisms of
We study conditions on automorphisms of Boolean algebras of the form (where λ is an uncountable cardinal and is the ideal of sets of cardinality less than κ ) which allow one to conclude that a given automorphism is trivial. We show (among other things) that every automorphism of which is trivial on all sets of cardinality κ⁺ is trivial, and that implies both that every automorphism of (ℝ)/Fin is trivial on a cocountable set and that every automorphism of (ℝ)/Ctble is trivial.
Autonomous posets and quantales
Autormorphism groups of countable highly homogeneous partially ordererd sets.
Autour des groupes cycliquement ordonnés
Ce travail commence par rappeler les définitions et les résultats de base concernant les groupes cycliquement ordonnés, et mentionner différents domaines où ils apparaissent. Ensuite sont exposés quelques développements, notamment sur la théorie du premier ordre, les séries formelles à exposants dans un groupe cycliquement ordonné, les groupes valués dont la valuation est à valeurs dans un ensemble cycliquement ordonné, et un analogue pour les espaces ultramétriques.
Averaging premises.
This paper deals with the sets of strict conjectures and consequences of a given collection P of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret restricted consequences as averages of premises. The subset of consequences C9*(P) and the subset of conjectures Φg*(P) defined by means of the averaging function g are introduced, and their properties are studied. This sets allow to give decomposition...
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A-Verbände II