On homomorphisms of ordered semigroups into real numbers
On ideals of implicative semigroups.
On ideals of lattice ordered monoids
In the paper the notion of an ideal of a lattice ordered monoid is introduced and relations between ideals of and congruence relations on are investigated. Further, it is shown that the set of all ideals of a soft lattice ordered monoid or a negatively ordered monoid partially ordered by inclusion is an algebraic Brouwerian lattice.
On intra-regular ordered semigroups.
On intra-regular ve-semigroups.
On lattice ordered periodic semigroups
On lattice-ordered monoids
In the paper lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a ∈ A and na ≥ 0 for some positive integer n imply a ≥ 0. A necessary and sufficient condition is found for a lattice-ordered monoid A, such that the set I of all invertible elements...
On left regular and left duo poe-semigroups.
On left (resp. right) duo regular poesemigroups.
On limits in complete semirings.
On naturally ordered semigroups.
On orderability of some classes of groupoids.
On ordered filters of implicative semigroups.
On ordered left groups.
On ordered regular semigroups with biggest inverses.
On prime, weakly prime ideals in ordered semigroups.
On quasi-antiorder in semigroups
On regular and intra-regular poe semigroups.
On Regular Anti-congruence in Anti-ordered Semigroups
On regular le-semigroups.