Every lattice is embeddable in the lattice of -topologies
Examples of statisch and finite-statisch AC-lattices
Exponentiable morphisms: Posets, spaces, locales, and Grothendieck toposes.
Extenseurs
Extensions dans les treillis
Facteurs et plans. II : plans quasi-complets
Fan-Gottesman type compactification of frames
Fantastic filters of lattice implication algebras.
Filters and Simple Graphic Algebras.
Finite atomistic lattices that can be represented as lattices of quasivarieties
We prove that a finite atomistic lattice can be represented as a lattice of quasivarieties if and only if it is isomorphic to the lattice of all subsemilattices of a finite semilattice. This settles a conjecture that appeared in the context of [11].
Finite dimensional completions in Noether lattices
Finite hull systems and their implication bases. (Endliche Hüllensysteme und ihre Implikationenbasen.)
Finite orders and their minimal strict completion lattices
Whereas the Dedekind-MacNeille completion D(P) of a poset P is the minimal lattice L such that every element of L is a join of elements of P, the minimal strict completion D(P)∗ is the minimal lattice L such that the poset of join-irreducible elements of L is isomorphic to P. (These two completions are the same if every element of P is join-irreducible). In this paper we study lattices which are minimal strict completions of finite orders. Such lattices are in one-to-one correspondence with finite...
Finite-distributive atomistic lattices
Finitely generated almost universal varieties of -lattices
A concrete category is (algebraically) universal if any category of algebras has a full embedding into , and is almost universal if there is a class of -objects such that all non-constant homomorphisms between them form a universal category. The main result of this paper fully characterizes the finitely generated varieties of -lattices which are almost universal.
Finitely generated almost universal varieties of 0-lattices.
Fixed edge theorems for complete lattices
Fixed point characterization of completeness on lattices for relatively isotone mappings
Fixed points of inequality-preserving maps in complete lattices
Fixed Points Of Monotone Multifunctions In Partially Ordered Sets