Caractérisations métriques des ensembles ordonnés semi-modulaires
Categories of orthomodular posets
Center of a bounded lattice
Chain conditions in modular lattices
Chains in modular ternary latticoids
Characterizations of 0-distributive posets
The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.
c-ideals in complemented posets
In their recent paper on posets with a pseudocomplementation denoted by the first and the third author introduced the concept of a -ideal. This concept is in fact an extension of a similar concept introduced in distributive pseudocomplemented lattices and semilattices by several authors, see References. Now we apply this concept of a c-ideal (dually, c-filter) to complemented posets where the complementation need neither be antitone nor an involution, but still satisfies some weak conditions....
Classes équationnelles de treillis orthomodulaires liées aux états
Cocompact lattices.
Commutative semigroups whose lattice of tolerances is Boolean
Compatibility and central elements in pseudo-effect algebras
An equivalent definition of compatibility in pseudo-effect algebras is given, and its relationships with central elements are investigated. Furthermore, pseudo-MV-algebras are characterized among pseudo-effect algebras by means of compatibility.
Compatibility and partial compatibility in quantum logics
Compatibility in orthomodular posets
Compatibility problem in quasi-orthocomplemented posets
Complemented tolerances on lattices
Complements in modular and semimodular lattices.
Complements in the lattice of all topologies of topological groups
Complements in the lattice of uniformities
Complete co-atomic lattices with enough primes.
Completeness and modular cross-symmetry in normed linear spaces