Completions of lattice ordered groups
Connections between ideals of non-commutative generalizations of -algebras and ideals of their underlying lattices
Connectivity in tl-groups
Construction of -groups with quasi-divisors theory
A method is presented making it possible to construct -groups with a strong theory of quasi-divisors of finite character and with some prescribed properties as subgroups of restricted Hahn groups , where are finitely atomic root systems. Some examples of these constructions are presented.
Convergence -groups with zero radical
In this paper we investigate abelian convergence -groups with zero radical such that each bounded sequence has a convergent subsequence.
Convergence with a fixed regulator in Archimedean lattice ordered groups
Convergence with a regulator in directed groups
There is defined and studied a convergence with a fixed regulator u in directed groups. A u-Cauchy completion of an integrally closed directed group is constructed.
Convergences and complete distributivity of lattice ordered groups
Convergences on lattice ordered groups with a finite number of disjoint elements
Convex directed subgroups of right ordered tree groups
Convex isomorphisms of Archimedean lattice ordered groups.
This paper contains a result of Cantor-Bernstein type concerning archimedean lattice ordered groups.
Convex lines in median groups
There is proved that a convex maximal line in a median group , containing 0, is a direct factor of .
Convexities of lattice ordered groups
In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of -groups.
Convexities of normal valued lattice ordered groups
Coverings in the lattice of quasivarieties of -groups.
Covers in the lattice of varieties of -groups.
Cyclic extensions of the Medvedev ordered groups
Cyclic ordered groups and MV-algebras
Cyclically ordered groups with unique addition
Cyclically valued rings and formal power series
Rings of formal power series with exponents in a cyclically ordered group were defined in [2]. Now, there exists a “valuation” on : for every in and in , we let be the first element of the support of which is greater than or equal to . Structures with such a valuation can be called cyclically valued rings. Others examples of cyclically valued rings are obtained by “twisting” the multiplication in . We prove that a cyclically valued ring is a subring of a power series ring with...