La struttura delle relazioni «molto maggiore» e «molto minore» nel calcolo approssimato
Lattice betweenness relation and a generalization of König's lemma
Lattices freely generated by partially ordered sets: which can be "drawn"?
Lattices in quasiordered sets
Lattices of convex equivalences
Lattices of generating systems
Lattices of quasiorders on universal algebras
Lattices of Scott-closed sets
A dcpo is continuous if and only if the lattice of all Scott-closed subsets of is completely distributive. However, in the case where is a non-continuous dcpo, little is known about the order structure of . In this paper, we study the order-theoretic properties of for general dcpo’s . The main results are: (i) every is C-continuous; (ii) a complete lattice is isomorphic to for a complete semilattice if and only if is weak-stably C-algebraic; (iii) for any two complete semilattices...
Left translations of compact semilattices and generalizations
Les chaínes complêtes sont simplifiables à droite pour la multiplication ordinale
Les ensembles partiellement ordonnés et le théorème de raffinement de Schreier. II. Théorie des multistructures
Les préordres totaux compatibles avec un ordre partiel
Liaisons entre les S-relations et les relations de ferrers. Représentations
Linear extensions of orderings
A construction is given which makes it possible to find all linear extensions of a given ordered set and, conversely, to find all orderings on a given set with a prescribed linear extension. Further, dense subsets of ordered sets are studied and a procedure is presented which extends a linear extension constructed on a dense subset to the whole set.
Linear extensions of orders invariant under abelian group actions
Let G be an abelian group acting on a set X, and suppose that no element of G has any finite orbit of size greater than one. We show that every partial order on X invariant under G extends to a linear order on X also invariant under G. We then discuss extensions to linear preorders when the orbit condition is not met, and show that for any abelian group acting on a set X, there is a linear preorder ≤ on the powerset 𝓟X invariant under G and such that if A is a proper subset of B, then A < B...
Locally partially ordered groups