Pairs of multilattices defined on the same set
Partial order with duality and consistent choice problem
Partial orders and their semigroups of closed relations.
Partial orders, closed relations and their automorphisms.
Partially ordered sets and some fixed point theorem.
Partially Ordered Sets And Some Fixed Point Theorems
Partially ordered sets having selfdual system of intervals
In the present paper we deal with the existence of large homogeneous partially ordered sets having the property described in the title.
Partially ordered sets with nondistributive lattices of maximal antichains
Partially-additive monoids
Polynômes de Stanley et extensions linéaires d'un ordre partiel
Poset game periodicity.
Posets having a selfdual interval poset
Posets having a unique decomposition into the minimum number of antichains. (Short Communication).
Posets having a unique decomposition into the minimum number of antichains.
Power-ordered sets
We define a natural ordering on the power set 𝔓(Q) of any finite partial order Q, and we characterize those partial orders Q for which 𝔓(Q) is a distributive lattice under that ordering.
Powers of partially ordered sets: Cancellation and reffinement properties.
Powers of partially ordered sets: The automorphism group.
Prime and maximal ideals of partially ordered sets
Prime elements in the semigroup of finite types of partially ordered sets in cardinal multiplication
Prime ideals in 0-distributive posets
In the first section of this paper, we prove an analogue of Stone’s Theorem for posets satisfying DCC by using semiprime ideals. We also prove the existence of prime ideals in atomic posets in which atoms are dually distributive. Further, it is proved that every maximal non-dense (non-principal) ideal of a 0-distributive poset (meet-semilattice) is prime. The second section focuses on the characterizations of (minimal) prime ideals in pseudocomplemented posets. The third section deals with the generalization...