On Carathéodory's and Krein-Milman's theorems in fully ordered groups
On CCC boolean algebras and partial orders
We partially strengthen a result of Shelah from [Sh] by proving that if and is a CCC partial order with e.g. (the successor of ) and then is -linked.
On centers and state spaces of logics
On central atoms of Archimedean atomic lattice effect algebras
If element of a lattice effect algebra is central, then the interval is a lattice effect algebra with the new top element and with inherited partial binary operation . It is a known fact that if the set of central elements of is an atomic Boolean algebra and the supremum of all atoms of in equals to the top element of , then is isomorphic to a direct product of irreducible effect algebras ([16]). In [10] Paseka and Riečanová published as open problem whether is a bifull sublattice...
On central relations of complete lattices
On centrally symmetric graphs
In this note we extend results on the covering graphs of modular lattices (Zelinka) and semimodular lattices (Gedeonova, Duffus and Rival) to the covering graph of certain graded lattices.
On certain congruence lattices of finite unary algebras
On Certain Generalized Probability Domains
On certain lattice-ordered semigroups.
On certain localic nuclei
On chains and posets within the power set of a continuum.
On chains in -algebras
On chains whose power semigroups are lattices.
On cheating immune secret sharing.
On closed lattices
On closure operators on monoids
On collections of almost disjoint families
On colored set partitions of type B n
Generalizing Reiner’s notion of set partitions of type B n, we define colored B n-partitions by coloring the elements in and not in the zero-block respectively. Considering the generating function of colored B n-partitions, we get the exact formulas for the expectation and variance of the number of non-zero-blocks in a random colored B n-partition. We find an asymptotic expression of the total number of colored B n-partitions up to an error of O(n −1/2log7/2 n], and prove that the centralized and...
On compactness of lattices.
On compatible and order-preserving functions on lattices