Generalization of ideal topology in chains
Generalized difference posets and orthoalgebras.
Generalized intervals and topology
Generalized ordering and partitions
Generating functions for permutations which contain a given descent set.
Generating functions for Wilf equivalence under generalized factor order.
Generating real maps on a biordered set.
Generating real maps on a biordered set
Several authors have defined operational quantities derived from the norm of an operator between Banach spaces. This situation is generalized in this paper and we present a general framework in which we derivate several maps from an initial one , where is a set endowed with two orders, and , related by certain conditions. We obtain only three different derivated maps, if the initial map is bounded and monotone.
Genomorphisms of lattices and semilattices
Geometrically constructed bases for homology of non-crossing partition lattices.
GMV-algebras and meet-semilattices with sectionally antitone permutations
Going down in (semi)lattices of finite Moore families and convex geometries
In this paper we first study what changes occur in the posets of irreducible elements when one goes from an arbitrary Moore family (respectively, a convex geometry) to one of its lower covers in the lattice of all Moore families (respectively, in the semilattice of all convex geometries) defined on a finite set. Then we study the set of all convex geometries which have the same poset of join-irreducible elements. We show that this set—ordered by set inclusion—is a ranked join-semilattice and we...
Gradedness of the set of rook placements in
A rook placement is a subset of a root system consisting of positive roots with pairwise non-positive inner products. To each rook placement in a root system one can assign the coadjoint orbit of the Borel subgroup of a reductive algebraic group with this root system. Degenerations of such orbits induce a natural partial order on the set of rook placements. We study combinatorial structure of the set of rook placements in with respect to a slightly different order and prove that this poset is...
Gram-Schmidt's orthogonalization based on the concept of generalized orthogonality
Graph isomorphism of ordered sets
Graph isomorphisms of modular multilattices
Graph isomorphisms of partially ordered sets
Group actions on Cartesian powers with applications to represenation theory.
-vectors, Eulerian polynomials and stable polytopes of graphs.
Hales-Jewett's theorem without short cycles