The partially ordered family of C M-homomorphisms.
The partially ordered set of all J-classes of a finite semigroup.
The quantifier semigroup for bipartite graphs.
The quasi-real extension of the real numbers
The second isomorphism theorem on ordered set under antiorders
The semiring of 1-preserving endomorphisms of a semilattice
We prove that the semirings of 1-preserving and of 0,1-preserving endomorphisms of a semilattice are always subdirectly irreducible and we investigate under which conditions they are simple. Subsemirings are also investigated in a similar way.
The Słupecki criterion by duality
A method is presented for proving primality and functional completeness theorems, which makes use of the operation-relation duality. By the result of Sierpiński, we have to investigate relations generated by the two-element subsets of only. We show how the method applies for proving Słupecki’s classical theorem by generating diagonal relations from each pair of k-tuples.
The spectral theory of semitopological semilattices.
The split building of a reductive group.
The structure of an idempotent relation.
The structure of closure congruences
The structure of linear homogeneous sets.
The Tensor Product of Continuous Lattices.
The translational hull of a normal cryptogroup
The word problem in the tensor product of distributive semilattices.
The zero-completion of a median algebra
Three-variable equations of posets
We find an independent base for three-variable equations of posets.
Tietze's convexity theorey for lattices and semilattices.
Tight quotients and double quotients in the Bruhat order.
Tolerances and convexity