Semigroups with a noncommutative arithmetic.
Semi-ideals in semi-lattices
Semilattices with sectional mappings
We consider join-semilattices with 1 where for every element p a mapping on the interval [p,1] is defined; these mappings are called sectional mappings and such structures are called semilattices with sectional mappings. We assign to every semilattice with sectional mappings a binary operation which enables us to classify the cases where the sectional mappings are involutions and / or antitone mappings. The paper generalizes results of [3] and [4], and there are also some connections to [1].
Semilinearly and semilattice right ordered groups
Semimodules over ordered rings.
Semi-ordered groups
Semi-projectable -groups
Semivaluations and -groups
Sequential convergences in -groups without Urysohn’s axiom
Sequential convergences on cyclically ordered groups
Sequential convergences on free lattice ordered groups
In this paper the partially ordered set Conv of all sequential convergences on is investigated, where is either a free lattice ordered group or a free abelian lattice ordered group.
Sequential convergences on generalized Boolean algebras
In this paper we investigate convergence structures on a generalized Boolean algebra and their relations to convergence structures on abelian lattice ordered groups.
Sequential convergences on lattice ordered groups
Sequential convergences on -algebras
Sequential convergences on pseudo MV-algebras
Sharp and fuzzy elements of an RC-group
Sheaves for an involutive quantaloid
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...