Completions of lattice ordered groups
Complex calculus of variations
In this article, we present a detailed study of the complex calculus of variations introduced in [M. Gondran: Calcul des variations complexe et solutions explicites d’équations d’Hamilton–Jacobi complexes. C.R. Acad. Sci., Paris 2001, t. 332, série I]. This calculus is analogous to the conventional calculus of variations, but is applied here to functions in . It is based on new concepts involving the minimum and convexity of a complex function. Such an approach allows us to propose explicit solutions...
Complicated BE-algebras and characterizations of ideals
In this paper, using the notion of upper sets, we introduced the notions of complicated BE-Algebras and gave some related properties on complicated, self-distributive and commutative BE-algebras. In a self-distributive and complicated BE-algebra, characterizations of ideals are obtained.
Compressible groups
Compressible groups with general comparability
Conal orders on homogeneous spaces.
Conditionally complete and conditionally orthogonally complete rings
Conditions for strong Morita equivalence of partially ordered semigroups
We investigate when a partially ordered semigroup (with various types of local units) is strongly Morita equivalent to a posemigroup from a given class of partially ordered semigroups. Necessary and sufficient conditions for such equivalence are obtained for a series of well-known classes of posemigroups. A number of sufficient conditions for several classes of naturally ordered posemigroups are also provided.
Congruences, ideals and annihilators in standard QBCC-algebras
We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence kernels.
Congruences on ordered groupoids.
Conjunctivity in quantales
Connections between ideals of non-commutative generalizations of -algebras and ideals of their underlying lattices
Connectivity in tl-groups
Constructing Banaschewski compactification without Dedekind completeness axiom.
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.