On convexities of lattices
On -lattices
On generalized MS-Algebras
On independence of the relations of epimorphy and embeddability on the variety of all lattices.
On -radical classes of lattice ordered groups
On lattices embeddable into subsemigroup lattices. III: Nilpotent semigroups.
On semisimple classes of Abelian linearly ordered groups
On some algebras connected with the theory of harmony
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 lattice of pronormal subgroups of dicyclic, alternating and symmetric groups
In this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups are studied in respect of formation of lattices and sublattices of . It is proved that the collections of all pronormal subgroups of and S do not form sublattices of respective and , whereas the collection of all pronormal subgroups of a dicyclic group is a sublattice of . Furthermore, it is shown that and ) are lower semimodular lattices.
On the lattice of semisimple classes of linearly ordered groups
On the variety Csub
The variety of lattices generated by lattices of all convex sublattices of distributive lattices is investigated.
Opérations dérivées des treillis orthomodulaire (Part 1)
Opérations dérivées des treillis orthomodulaires (Part 2)
Opérations dérivées des treillis orthomodulaires (Part 3)