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Displaying 81 – 100 of 127

Problems in Boolean algebras

R. Bonnet (1976)

Annales scientifiques de l'Université de Clermont. Mathématiques

Quasi-minimal posets and lattices.

J.L. Hickman (1977)

Journal für die reine und angewandte Mathematik

Quasi-modal algebras

Sergio A. Celani (2001)

Mathematica Bohemica

In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.

Relative Pseudo-Complements, Join-Extensions, and Meet-Retractions.

Jürgen Schmidt, Constantine Tsinakis (1977)

Mathematische Zeitschrift

Representation of Łukasiewicz and Post algebras by continuous functions

Roberto Cignoli (1972)

Colloquium Mathematicae

Representation theorem for finite quasi-boolean algebras

Virgilio Muškardin (1976)

Annales scientifiques de l'Université de Clermont. Mathématiques

Representing free Boolean algebras

Alan Dow, P. Nyikos (1992)

Fundamenta Mathematicae

Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with $ℵ_{1}$ generators is represented. It was shown in [2] that it is consistent that the free Boolean algebra of size continuum is not a subalgebra...