Constructing ordered groupoids
Constructing quantales and their modules from monoidal categories
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.
Constructions of cell algebras
A construction of cell algebras is introduced and some of their properties are investigated. A particular case of this construction for lattices of nets is considered.
Continuous extension of order-preserving homogeneous maps
Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have at least...
Continuous modular lattices of breadth two.
Continuous monoids and yields of infinite trees
Contractive projections and Seever’s identity in complex -algebras
In this paper we give necessary and sufficient conditions in order that a contractive projection on a complex -algebra satisfies Seever’s identity.
Contribución al estudio de los anillos reticulados y f-anillos.
This paper deals with ordered rings and f-rings. Some relations between classes of ideals are obtained. The idea of subunity allows us to study the possibility of embedding the ring in a unitary f-ring. The Boolean algebras of idempotents and lattice-isometries in an f-ring are studied. We give geometric characterizations of the l-isometries and obtain, in the projectable case, that the Stone space of the Boolean algebra of l-isometries is homeomorphic to the space of minimal prime ideals with the...
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 and higher degrees of distributivity of lattice ordered groups and of Boolean algebras
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 .
Convex-ear decompositions and the flag -vector.
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.