Continuous categories revisited.
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 lattices and compact Lawson semilattices.
Continuous modular lattices of breadth two.
Continuous monoids and yields of infinite trees
Continuous posets and adjoint sequences.
Contracting the socle in rings of continuous functions
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...
Contributions to some generalizations of lattices
Control and separating points of modular functions
Convergence in MV-algebras.
MV-algebras were introduced in 1958 by Chang [4] and they are models of Lukasiewicz infinite-valued logic. Chang gives a correspondence between the category of linearly ordered MV-algebras and the category of linearly ordered abelian l-groups.Mundici [10] extended this result showing a categorical equivalence between the category of the MV-algebras and the category of the abelian l-groups with strong unit.In this paper, starting from some definitions and results in abelian l-groups, we shall study...
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 in Perfect BL-algebras.
Convergences on lattice ordered groups with a finite number of disjoint elements
Convergent regular measures on MV–algebras
We obtain for measures on MV-algebras the classical theorem of Dieudonné related to convergent sequences of regular maps.