Tolerances and convexity
Tolerances and orderings on semilattices
Tolerances, covering systems, and the axiom of choice
Tolerances, interval orders, and semiorders
Tolerances of frames
Tolerances on median algebras
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.
Tolerances on -lattices
Tolerances on semilattices.
Tolerante Catalanzahlen
Topological automorphism groups of chains.
It is shown that any set-open topology on the automorphism group A(X) of a chain X coincides with the pointwise topology and that A(X) is a topological group with respect to this topology. Topological properties of connectedness and compactness in A(X) are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.
Topological categories containing any category of algebras
Topological characterization of certain classes of lattices
Topological characterizations of ordered groups with quasi-divisor theory
For an order embedding of a partly ordered group into an -group a topology is introduced on which is defined by a family of valuations on . Some density properties of sets , and ( being -ideals in ) in the topological space are then investigated, each of them being equivalent to the statement that is a strong theory of quasi-divisors.
Topological difference posets
Topological groups of divisibility
Topological locally finite MV-algebras and Riemann surfaces.
Topological properties and matrix transformations of certain ordered generalized sequence spaces.
Topological properties of generalized Wallman spaces and lattice relations.
Topological properties of spaces ordered by preferences.