On Stanley-Reisner rings
On strong superlattices
On structural properties of normality relations on lattices
On subalgebra lattices of a finite unary algebra. II.
We use graph-algebraic results proved in [8] and some results of the graph theory to characterize all pairs of lattices for which there is a finite partial unary algebra such that its weak and strong subalgebra lattices are isomorphic to and , respectively. Next, we describe other pairs of subalgebra lattices (weak and relative, etc.) of a finite unary algebra. Finally, necessary and sufficient conditions are found for quadruples of lattices for which there is a finite unary algebra having...
On the algebraic structure of the process of forming subsequences
On the -equivalence of multilattices
On the canonical subdirect decomposition of a join semilattice
On the characterization of semilattices satisfying the descending chain condition and some remarks on distinguishing subsets
On the Chinese remainder theorem of H. Draškovičová
On the collection of lattices determined by the same poset of meet-irreducibles.
On the complementation of relatively complemented distributive lattices
On the completion of a lattice by ends
On the congruence lattice of an abelian lattice ordered group
In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
On the congruence lattice of stable algebras with definability of compact congruences
On the construction of dense lattices with a given automorphisms group
We consider the problem of constructing dense lattices in with a given non trivial automorphisms group. We exhibit a family of such lattices of density at least , which matches, up to a multiplicative constant, the best known density of a lattice packing. For an infinite sequence of dimensions , we exhibit a finite set of lattices that come with an automorphisms group of size , and a constant proportion of which achieves the aforementioned lower bound on the largest packing density. The algorithmic...
On the intersection of maximal filters in distributive lattices
On the large proper sublattices of finite lattices.
On the lattice automorphisms of certain simple algebraic groups
On the lattice automorphisms of and
On the lattice of convex subsets of a partial monounary algebra