Normalization of basic algebras
We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.
Note on a normality relation in lattices
Note on algebraic interior systems
We get an interrelation between an algebraic closure system and its conjugated interior system. We introduce the concept of algebraic interior system and we get its representation.
Note on "construction of uninorms on bounded lattices"
In this note, we point out that Theorem 3.1 as well as Theorem 3.5 in G. D. Çaylı and F. Karaçal (Kybernetika 53 (2017), 394-417) contains a superfluous condition. We have also generalized them by using closure (interior, resp.) operators.
Note on dense covers in the category of locales
In this note we are going to study dense covers in the category of locales. We shall show that any product of finitely regular locales with some dense covering property has this property as well.
Note on semilattice congruences.
Note on the center of a lattice
Note sur une relation d'intermédiarité dans les treillis
Nous rapprochons ici une intermédiarité classique dans les treillis, obtenue par une généralisation à partir de la notion d'intervalle d'un ordre total, et la p-analyse, introduite par C. Flament et al. à propos de l'analyse de similitude. Les éléments de cette note doivent être intégrés à un travail sur les graphes dont les arcs sont (partiellement) préordonnés. Au paragraphe 1, nous introduisons deux treillis, dont celui des intervalles généralisés d'un treillis, et nous étudions le lien entre...
Notes on lattice congruences
Notes on lattices of frame tolerances
Notes on locally internal uninorm on bounded lattices
In the study, we introduce the definition of a locally internal uninorm on an arbitrary bounded lattice . We examine some properties of an idempotent and locally internal uninorm on an arbitrary bounded latice , and investigate relationship between these operators. Moreover, some illustrative examples are added to show the connection between idempotent and locally internal uninorm.
Notions d'extension dans les treillis
N-Schrägverbände und Quasiordnungen
O jednom pěkném algebraickém výsledku
Ojective ideals in modular lattices
The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice. It is...
On a characterization of the lattice of -ideals of an ordered set
On a characterization of the lattice of subsystems of a transition system.
On a construction of amalgamation I
On a Generalization of Permutable Equivalence Relations
On a paper by Iqbalunnisa