Sandwich sets and partial order.
Schwache Teilbarkeitshalbgruppen.
Semigroup structure in compactifications of ordered semigroups
Semigroups and lattices.
Semigroups and their natural order
Semigroups in lattices of solvable Lie groups.
Semigroups with a noncommutative arithmetic.
Sheaves of semiprime ideals
Sheaves on a quantale
S-implications and -implications on a finite chain
This paper is devoted to the study of two kinds of implications on a finite chain : -implications and -implications. A characterization of each kind of these operators is given and a lot of different implications on are obtained, not only from smooth t-norms but also from non smooth ones. Some additional properties on these implications are studied specially in the smooth case. Finally, a class of non smooth t-norms including the nilpotent minimum is characterized. Any t-norm in this class...
Soluble approximation of linear systems in max-plus algebra
We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.
Some closure properties in monoids.
Some ideas for comparison of Bellman chains
In this paper we are exploiting some similarities between Markov and Bellman processes and we introduce the main concepts of the paper: comparison of performance measures, and monotonicity of Bellman chains. These concepts are used to establish the main result of this paper dealing with comparison of Bellman chains.
Some properties of lattice ordered Rees matrix semigroups
Some properties of Lorenzen ideal systems
Let be a partially ordered abelian group (-group). The construction of the Lorenzen ideal -system in is investigated and the functorial properties of this construction with respect to the semigroup of all -ideal systems defined on are derived, where for and a lower bounded subset , . It is proved that Lorenzen construction is the natural transformation between two functors from the category of -groups with special morphisms into the category of abelian ordered semigroups.
Some properties of residuated lattices
We investigate some (universal algebraic) properties of residuated lattices—algebras which play the role of structures of truth values of various systems of fuzzy logic.
Some remarks on certain partially ordered semigroups.
Some results in bipolar-valued fuzzy ordered AG-groupoids
In this paper, we introduce the concept of bipolar-valued fuzzification of ordered 𝓐𝓖-groupoids and discuss some structural properties of bipolar-valued fuzzy two-sided ideals of an intra-regular ordered 𝓐𝓖-groupoid.
Some results on ordered filters of implicative semigroups.
Sous-demi-groupes convexes des demi-groupes totalement ordonnés. Erratum et compléments