On the additive structure of a class of ordered semirings.
On the affine completeness of lattice ordered groups
In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.
On the algebraic properties of convex bodies and some applications.
On the algebraic structure of fuzzy sets of type 2
On the algebraic structure of the process of forming subsequences
On the automorphism group of the countable dense circular order
Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.
On the Automorphism Groups of Denumerable Boolean Algebras.
On the -equivalence of multilattices
On the “Bruhat graph” of a Coxeter system
On the cancellation law for disconnected partially ordered sets
On the canonical subdirect decomposition of a join semilattice
On the cardinality and weight spectra of compact spaces, II
Let B(κ,λ) be the subalgebra of P(κ) generated by . It is shown that if B is any homomorphic image of B(κ,λ) then either or ; moreover, if X is the Stone space of B then either or . This implies the existence of 0-dimensional compact spaces whose cardinality and weight spectra omit lots of singular cardinals of “small” cofinality.
On the center of a left Jordan groupoid
On the characterization of semilattices satisfying the descending chain condition and some remarks on distinguishing subsets
On the Chinese remainder theorem of H. Draškovičová
On the class of QS-algebras.
On the classes of orderable semigroups in varieties.
On the closed left ideals of the group algebra
On the collection of lattices determined by the same poset of meet-irreducibles.
On the combinatorics of Kac's asymmetry function
We use categories to recast the combinatorial theory of full heaps, which are certain labelled partially ordered sets that we introduced in previous work. This gives rise to a far simpler set of definitions, which we use to outline a combinatorial construction of the so-called loop algebras associated to affine untwisted Kac--Moody algebras. The finite convex subsets of full heaps are equipped with a statistic called parity, and this naturally gives rise to Kac's asymmetry function. The latter is...