The characterization of -compact elements in some lattices
The epis of the category of ordered algebras and -continuous homomorphisms
The functional equation f(xy) = ff(x) xy ff(y) in a partially ordered monoid.
The Infinite Random Order of Dimension
The Lattice of Natural Partial Orders.
The lattices of topologies on a partially ordered set
The mixed product decompositions of partially ordered groups
The niche graphs of interval orders
The niche graph of a digraph D is the (simple undirected) graph which has the same vertex set as D and has an edge between two distinct vertices x and y if and only if N+D(x) ∩ N+D(y) ≠ ∅ or N−D(x) ∩ N−D(y) ≠ ∅, where N+D(x) (resp. N−D(x)) is the set of out-neighbors (resp. in-neighbors) of x in D. A digraph D = (V,A) is called a semiorder (or a unit interval order ) if there exist a real-valued function f : V → R on the set V and a positive real number δ ∈ R such that (x, y) ∈ A if and only if...
The ordinal variety of distributive ordered sets of width two
The orientability of the direct product of graphs
The partially ordered collection of regular ...-classes of S(X).
The partially ordered family of C M-homomorphisms.
The partially ordered set of all J-classes of a finite semigroup.
The quasi-real extension of the real numbers
The second isomorphism theorem on ordered set under antiorders
The structure of an idempotent relation.
Three-variable equations of posets
We find an independent base for three-variable equations of posets.
Tolerances, interval orders, and semiorders
Tolerances on poset algebras
To everz partiallz ordered set a certain groupoid is assigned. A tolerance on it is defined similarlz as a congruence, onlz the requirement of transitivitz is omitted. Some theorems concerning these tolerances are proved.