O jisté pologrupě endomorfismů na jednoduše uspořádané množině. II.
On a fixobject property for -semigroupoids
On a problem in poe-semigroups.
On a special class of left-continuous uninorms
This paper is devoted to the study of a class of left-continuous uninorms locally internal in the region and the residual implications derived from them. It is shown that such uninorm can be represented as an ordinal sum of semigroups in the sense of Clifford. Moreover, the explicit expressions for the residual implication derived from this special class of uninorms are given. A set of axioms is presented that characterizes those binary functions for which a uninorm of this special class exists...
On almost equitable uninorms
Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.
On axiom systems of pseudo-BCK algebras.
On certain lattice-ordered semigroups.
On certain localic nuclei
On congruences and ideals of partially ordered quasigroups
Some results concerning congruence relations on partially ordered quasigroups (especially, Riesz quasigroups) and ideals of partially ordered loops are presented. These results generalize the assertions which were proved by Fuchs in [5] for partially ordered groups and Riesz groups.
On Conrad's partial order relation on semiprime rings and semigroups.
On distributive residuated groupoids.
On filters of ordered semigroups
On homological classification of pomonoids by GP-po-flatness ofS-posets
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness. Furthermore, we investigate the homological classification problems of pomonoids by using this new property. Finally, we consider direct products of GP-po-flat S-posets. As an application, characterizations of pomonoids over which direct products of nonempty families of principally weakly po-flat S-posets are principally weakly po-flat...
On homological classification of pomonoids by regular weak injectivity properties of S-posets
If S is a partially ordered monoid then a right S-poset is a poset A on which S acts from the right in such a way that the action is compatible both with the order of S and A. By regular weak injectivity properties we mean injectivity properties with respect to all regular monomorphisms (not all monomorphisms) from different types of right ideals of S to S. We give an alternative description of such properties which uses systems of equations. Using these properties we prove several so-called homological...
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