Remarque sur les treillis complets pseudo complémentes
Representation of algebraic distributive lattices with ℵ1 compact elements as ideal lattices of regular rings.
We prove the following result: Theorem. Every algebraic distributive lattice D with at most ℵ1 compact elements is isomorphic to the ideal lattice of a von Neumann regular ring R.(By earlier results of the author, the ℵ1 bound is optimal.) Therefore, D is also isomorphic to the congruence lattice of a sectionally complemented modular lattice L, namely, the principal right ideal lattice of R. Furthermore, if the largest element of D is compact, then one can assume that R is unital, respectively,...
Representation of Lattices by Equivalence Relations
Representations of finite lattices by orders on finite sets
Representations of locally distributive lattices
Representations of ordered semigroups and lattices by binary relations
Representative properties of the quasi-ordered set
Representing lattices by homotopy groups of graphs
In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.
Residuation Theory (Book Review by R. McFadden.
Retracts of abelian lattice ordered groups
Rotations of -lattices
In [2], J. Klimes studied rotations of lattices. The aim of the paper is to research rotations of the so-called -lattices introduced in [3] by V. Snasel.