Semilinearly and semilattice right ordered groups
Semi-ordered groups
Semi-projectable -groups
Semivaluations and -groups
Sequential convergences in -groups without Urysohn’s axiom
Sequential convergences on cyclically ordered groups
Sequential convergences on free lattice ordered groups
In this paper the partially ordered set Conv of all sequential convergences on is investigated, where is either a free lattice ordered group or a free abelian lattice ordered group.
Sequential convergences on lattice ordered groups
Sequential convergences on pseudo MV-algebras
Sobre la geometría de la diferencia simétrica.
Sobre las isometrías de los grupos y anillos reticulados.
El contenido de este trabajo tiene un objetivo fundamental: el estudio, clasificación y caracterización de las isometrías de un grupo reticulado. Se introducen los conceptos de grupo de isometrías M(G) de un grupo reticulado G, grupo de simetrías homogéneas H(G) y traslaciones T(G). Se estudia primero el caso elemental de los grupos totalmente ordenados y utilizando luego las representaciones de los grupos (y f-anillos) en un producto de totalmente ordenados, se introduce el concepto de conjunto...
Solid subgroups of weakly associative lattice groups
Some Characterizations of Bruhat Ordering on a Coxeter Group and Determination of the Relative Möbius Function
Some comments and examples on generation of (hyper-)archimedean -groups and -rings
This paper systematizes some theory concerning the generation of -groups and reduced -rings from substructures. We are particularly concerned with archimedean and hyperarchimedean groups and rings. We discuss the process of adjoining a weak order unit to an -group, or an identity to an -ring and find significant contrasts between these cases. In -groups, hyperarchimedeanness and similar properties fail to pass from generating structures to the structures that they generate, as illustrated by...
Some properties of an archimedean -group
Some properties of Lorenzen ideal systems
Let be a partially ordered abelian group (-group). The construction of the Lorenzen ideal -system in is investigated and the functorial properties of this construction with respect to the semigroup of all -ideal systems defined on are derived, where for and a lower bounded subset , . It is proved that Lorenzen construction is the natural transformation between two functors from the category of -groups with special morphisms into the category of abelian ordered semigroups.
Some remarks on Lorenzen -group of partly ordered groups
Some Remarks or v-Ideal Systems and Categories of semigroups
Sous-groupes et groupes quotients d'un groupe préordonné
Spectra of abelian wekly associative lattice groups
The notion of a weakly associative lattice group is a generalization of that of a lattice ordered group in which the identities of associativity of the lattice operations join and meet are replaced by the identities of weak associativity. In the paper, the spectral topologies on the sets of straightening ideals (and on some of their subsets) of abelian weakly associative lattice groups are introduced and studied.