The associativity equation revisited.
The chain of right simple semigroups in ordered semigroups
The duality between lattice-ordered monoids and ordered topological spaces.
The embedding of an ordered semigroup in a simple one with identity.
The Embedding of an Ordered Semigroup in an Ordered group via the Quotient Condition
The embedding of an ordered semigroup into an le-semigroup.
The functional equation f(xy) = ff(x) xy ff(y) in a partially ordered monoid.
The globals of pseudovarieties of ordered semigroups containing and an application to a problem proposed by Pin
Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup , under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level of Straubing-Thérien’s concatenation hierarchy has infinite vertex rank.
The globals of pseudovarieties of ordered semigroups containing B2 and an application to a problem proposed by Pin
Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup B2, under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the pseudovariety of level 3/2 of Straubing-Thérien's concatenation hierarchy has infinite vertex rank.
The Ideal extensions of ordered semigroups
The intersection graph of a simply ordered semigroup.
The intersection graph on an ordered commutative semigroup.
The Iséki-type characterization of certain regular ordered semigroups
The lattice of convex subgroupoids of an ordered groupoid.
The Mitsch order on a semigroup.
The orderability of completely regular semigroups.
The orderability of idempotent semigroups.
The orderability of idempotent semigroups
The orderability of regular semigroups.
The principle of the largest terms and quantum large deviations
We give an approach to large deviation type asymptotic problems without evident probabilistic representation behind. An example provided by the mean field models of quantum statistical mechanics is considered.