Archimedisch Teilbarkeitshalbgruppen und Quaderalgebren.
Arens regularity of lattice-ordered rings
This work discusses the problem of Arens regularity of a lattice-ordered ring. In this prospect, a counterexample is furnished to show that without extra conditions, a lattice-ordered ring need not be Arens regular. However, as shown in this paper, it turns out that any -ring in the sense of Birkhoff and Pierce is Arens regular. This result is then used and extended to the more general setting of almost -rings introduced again by Birkhoff.
Arêtes maximales des cocycles d'un graphe préordonné
Arithmetic Properties of certain partially ordered Semigeroups.
Arithmetical functions on a locally finite, locally semi-modular, local lattice.
Around a neutral element in a nearlattice
Aspects of complete uniform spreads in frames.
Assoziativ-Änliche Gesetze
Asymptotic classification of aliasing structures.
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.