Some remarks on certain partially ordered semigroups.
Some remarks on Lorenzen -group of partly ordered groups
Some Remarks or v-Ideal Systems and Categories of 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.
Some results on the weak dominance relation between ordered weighted averaging operators and T-norms
Aggregation operators have the important application in any fields where the fusion of information is processed. The dominance relation between two aggregation operators is linked to the fusion of fuzzy relations, indistinguishability operators and so on. In this paper, we deal with the weak dominance relation between two aggregation operators which is closely related with the dominance relation. Weak domination of isomorphic aggregation operators and ordinal sum of conjunctors is presented. More...
Sous-demi-groupes convexes des demi-groupes totalement ordonnés. Erratum et compléments
Sous-demi-groupes convexes des demi-groupes totalement ordonnés
Sous-groupes et groupes quotients d'un groupe préordonné
Spaces of Vector-Valued Measurable Functions.
Spaces whose connected expansion preserve connected subsets
Spaces in which all prime -ideals of are minimal or maximal
Quasi -spaces are defined to be those Tychonoff spaces such that each prime -ideal of is either minimal or maximal. This article is devoted to a systematic study of these spaces, which are an obvious generalization of -spaces. The compact quasi -spaces are characterized as the compact spaces which are scattered and of Cantor-Bendixson index no greater than 2. A thorough account of locally compact quasi -spaces is given. If is a cozero-complemented space and every nowhere dense zeroset...
Spectra of abelian wekly associative lattice groups
The notion of a weakly associative lattice group is a generalization of that of a lattice ordered group in which the identities of associativity of the lattice operations join and meet are replaced by the identities of weak associativity. In the paper, the spectral topologies on the sets of straightening ideals (and on some of their subsets) of abelian weakly associative lattice groups are introduced and studied.
Spectra of autometrized lattice algebras
Autometrized algebras are a common generalization e.g. of commutative lattice ordered groups and Brouwerian algebras. In the paper, spectra of normal autometrized lattice ordered algebras (i.e. topologies of sets (and subsets) of their proper prime ideals) are studied. Especially, the representable dually residuated lattice ordered semigroups are examined.
Spectra of weakly associative lattice rings
Spectral topologies of dually residuated lattice-ordered monoids
Dually residuated lattice-ordered monoids (-monoids for short) generalize lattice-ordered groups and include for instance also -algebras (pseudo -algebras), a non-commutative extension of -algebras. In the present paper, the spectral topology of proper prime ideals is introduced and studied.
Spitz in -groups
Splitting property of lattice ordered groups
Standard monads
States on unital partially-ordered groups
We study states on unital po-groups which are not necessarily commutative as normalized positive real-valued group homomorphisms. We show that in contrast to the commutative case, there are examples of unital po-groups having no state. We introduce the state interpolation property holding in any Abelian unital po-group, and we show that it holds in any normal-valued unital -group. We present a connection among states and ideals of po-groups, and we describe extremal states on the state space of...