Uniform normality of topological groups and -groups
Uniform topology onEQ-algebras
In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated. In particular, we show that (E, 𝒯) is a first-countable, zero-dimensional, disconnected and completely regular space. Finally, by using convergence of nets, the convergence of topological EQ-algebras is obtained.
Unique -closure for some -groups of rational valued functions
Usually, an abelian -group, even an archimedean -group, has a relatively large infinity of distinct -closures. Here, we find a reasonably large class with unique and perfectly describable -closure, the class of archimedean -groups with weak unit which are “-convex”. ( is the group of rationals.) Any is -convex and its unique -closure is the Alexandroff algebra of functions on defined from the clopen sets; this is sometimes .
Unique covering on radical classes of -groups
Uniquely covered radical classes of -groups
It is proved that a radical class of lattice-ordered groups has exactly one cover if and only if it is an intersection of some -complement radical class and the big atom over .
Unital Embedding and Complexification of F-Algebras.
Upper bounds on certain functionals defined on groups of linear operators.
Using the generic interval
Valuations and group algebras
Valued Groups.
Valued vector spaces and abelian -groups
Values and minimal spectrum of an algebraic lattice
Varieties of half lattice-ordered groups of monotonic permutations of chains
Varieties of -groups are torsion classes
Verbandsgruppen, deren Komponentenverband kompakt erzeugt ist
Verbandsgruppen mit -kompakten Komponentenverbänden
Weak Boolean products of bounded dually residuated -monoids
In the paper we deal with weak Boolean products of bounded dually residuated -monoids (DR-monoids). Since bounded DRl-monoids are a generalization of pseudo MV-algebras and pseudo BL-algebras, the results can be immediately applied to these algebras.
Weak homogeneity of lattice ordered groups
In this paper we deal with weakly homogeneous direct factors of lattice ordered groups. The main result concerns the case when the lattice ordered groups under consideration are archimedean, projectable and conditionally orthogonally complete.
Weak isometries and direct decompositions of dually residuated lattice ordered semigroups
Weak isometries in directed groups