Completion of a cyclically ordered group
Completion of partially ordered sets
The paper considers a generalization of the standard completion of a partially ordered set through the collection of all its lower sets.
Completions for partially ordered semigroups.
Completions of lattice ordered groups
Concept lattices associated with L-fuzzy W-contexts.
Concept lattices of quasiordered sets
Concept lattices unify the Birkhoff representation theorems
Concerning Filtrations on Commutative Rings.
Concrete representation of some equivalence lattices
Condition pour que la puissance du treillis complet soit algébrique
Conditions under which the least compactification of a regular continuous frame is perfect
We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the two-point compactification of a locally compact Hausdorff space, and the concept of remainder in a frame compactification. Indeed, one of the characterizations...
Congruence extension and amalgamation in C£.
Congruence extension from a semilattice to the freely generated distributive lattice
Congruence kernels of distributive PJP-semilattices
A meet semilattice with a partial join operation satisfying certain axioms is a JP-semilattice. A PJP-semilattice is a pseudocomplemented JP-semilattice. In this paper we describe the smallest PJP-congruence containing a kernel ideal as a class. Also we describe the largest PJP-congruence containing a filter as a class. Then we give several characterizations of congruence kernels and cokernels for distributive PJP-semilattices.
Congruence kernels of orthoimplication algebras.
Congruence lattices of finite chains with endomorphisms
Characterization of congruence lattices of finite chains with either one or two endomorphisms is given.
Congruence lattices of free lattices in non-distributive varieties
Congruence lattices of intransitive G-Sets and flat M-Sets
An M-Set is a unary algebra whose set of operations is a monoid of transformations of ; is a G-Set if is a group. A lattice is said to be represented by an M-Set if the congruence lattice of is isomorphic to . Given an algebraic lattice , an invariant is introduced here. provides substantial information about properties common to all representations of by intransitive G-Sets. is a sublattice of (possibly isomorphic to the trivial lattice), a -product lattice. A -product...
Congruence pairs for algebras abstracting Kleene and Stone algebras
Congruence properties of distributive double -algebras