Principal tolerances on lattices
Problems on compact emilattices.
Projective and injective complete lattices
Proper hypersubstitutions of some generalizations of lattices and Boolean algebras
Properties of Prealgebraic Lattices Investigated by Means of Formal Concept Analysis
Pseudocompactness and the cozero part of a frame
A characterization of the cozero elements of a frame, without reference to the reals, is given and is used to obtain a characterization of pseudocompactness also independent of the reals. Applications are made to the congruence frame of a -frame and to Alexandroff spaces.
Quasi-complete ideal lattices
Quasicontinuous posets.
Quasicontinuous spaces
We lift the notion of quasicontinuous posets to the topology context, called quasicontinuous spaces, and further study such spaces. The main results are: (1) A space is a quasicontinuous space if and only if is locally hypercompact if and only if is a hypercontinuous lattice; (2) a space is an -continuous space if and only if is a meet continuous and quasicontinuous space; (3) if a -space is a well-filtered poset under its specialization order, then is a quasicontinuous space...
Quasi-minimal posets and lattices.
Quasiorder on Systems of Directed Sets
Quasi-orders of algebras
Quotient structures in lattice effect algebras
In this paper, we define some types of filters in lattice effect algebras, investigate some relations between them and introduce some new examples of lattice effect algebras. Then by using the strong filter, we find a CI-lattice congruence on lattice effect algebras, such that the induced quotient structure of it is a lattice effect algebra, too. Finally, under some suitable conditions, we get a quotient MV-effect algebra and a quotient orthomodular lattice, by this congruence relation.
Radical d'un treilli residue.
We presents some relations between the (maximal) spectre of a residuated lattice and the residuated lattices of its regular elements. We note the characterization found for the radical of a residuated lattice via the radical of the residuated lattices of the ragular elements. Finally, this last result is applied in the study of the simplicity and semi-simplicity of a residuated lattice.
Radical subgroups of lattice ordered groups
Random posets, lattices, and lattices terms
Algorithms for generating random posets, random lattices and random lattice terms are given.
Realcompactification and repleteness of Wallman spaces.
Recent developments in the theory of skew lattices.
Règle majoritaire et distributivité dans le permutoèdre
Regular and normal quantales