O jisté pologrupě endomorfismů na jednoduše uspořádané množině. II.
On a cancellation rule for subdirect products of lattice ordered groups and of -algebras
On a fixobject property for -semigroupoids
On a functional equation arising from hyperbolic geometry.
On a period of elements of pseudo-BCI-algebras
The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.
On a periodic part of pseudo-BCI-algebras
In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.
On a problem in poe-semigroups.
On a radical class of lattice ordered groups
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 absolute retracts and absolute convex retracts in some classes of l-groups
By dealing with absolute retracts of l-groups we use a definition analogous to that applied by Halmos for the case of Boolean algebras. The main results of the present paper concern absolute convex retracts in the class of all archimedean l-groups and in the class of all complete l-groups.
On adjoining units to hyper-archimedean -groups
On algebra homomorphisms in complex almost -algebras
Extensions of order bounded linear operators on an Archimedean vector lattice to its relatively uniform completion are considered and are applied to show that the multiplication in an Archimedean lattice ordered algebra can be extended, in a unique way, to its relatively uniform completion. This is applied to show, among other things, that any order bounded algebra homomorphism on a complex Archimedean almost -algebra is a lattice homomorphism.
On algebraic operations of a lattice-ordered group
On algebra-lattices
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 annihilators of BCK-algebras
On archimedean -algebras
On automorphism groups of cyclically ordered sets.
On automorphisms of the lattice of quasivarieties of lattice-ordered groups
On axiom systems of pseudo-BCK algebras.