Completeness and continuity of lattice-seminorms
Completeness in semi-local ideal lattices
Completion of a cyclically ordered group
Completion of a half linearly cyclically ordered group
The notion of a half lc-group G is a generalization of the notion of a half linearly ordered group. A completion of G by means of Dedekind cuts in linearly ordered sets and applying Świerczkowski's representation theorem of lc-groups is constructed and studied.
Completions and closures of cyclically ordered groups
Completions for partially ordered semigroups.
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.