Certaines équations fonctionnelles pseudo-booléennes généralisées.
Complete description for -equivalence types of superatomic -algebras.
Convergence and submeasures in Boolean algebras
A Boolean algebra carries a strictly positive exhaustive submeasure if and only if it has a sequential topology that is uniformly Fréchet.
Decompositions of a -algebra.
Didactical note: probabilistic conditionality in a Boolean algebra.
This note deals with two logical topics and concerns Boolean Algebras from an elementary point of view. First we consider the class of operations on a Boolean Algebra that can be used for modelling If-then propositions. These operations, or Conditionals, are characterized under the hypothesis that they only obey to the Modus Ponens-Inequality, and it is shown that only six of them are boolean two-place functions. Is the Conditional Probability the Probability of a Conditional? This problem will...
Die Varietät der auflösbaren Ternare der Ordnung 2
Ein neues Axiomensystem für Boolesche Verbände.
Embedding of free Boolean algebras in complete Boolean algebras
Enlargements of Boolean algebras and Stone spaces
Equational Theories of Varieties defined by P-compatible Identities of Boole'an Algebras
Exhaustive zero-convergence structures on Boolean algebras
Extensions of mappings of finite Boolean algebras to homomorphisms
Free products and elementary types of Boolean Algebras.
Free Suslin algebras
Fuzzy n-fold integral filters in BL-algebras
In this paper, we introduce the notion of fuzzy n-fold integral filter in BL-algebras and we state and prove several properties of fuzzy n-fold integral filters. Using a level subset of a fuzzy set in a BL-algebra, we give a characterization of fuzzy n-fold integral filters. Also, we prove that the homomorphic image and preimage of fuzzy n-fold integral filters are also fuzzy n-fold integral filters. Finally, we study the relationship among fuzzy n-fold obstinate filters, fuzzy n-fold integral filters...
Game properties of Boolean algebras
Generalizations of Boolean algebras. An attribute exploration
Generalized Post algebras and their application to some infinitary many-valued logics [Book]
Incomparable families and maximal trees
We answer several questions of D. Monk by showing that every maximal family of pairwise incomparable elements of 𝒫(ω)/fin has size continuum, while it is consistent with the negation of the Continuum Hypothesis that there are maximal subtrees of both 𝒫(ω) and 𝒫(ω)/fin of size ω₁.
Introduction de quelques formes générales des fonctions pseudo-booléennes.