Results 31 to 40 of about 22,156 (198)

Narrow boolean algebras

open access: yesAnnals of Pure and Applied Logic, 1985
Let \(\kappa\) be the cofinality of \(2^{\aleph_ 0}\). There exists a Boolean algebra B of cardinality \(\kappa\) with the property that every subset of B of size \(\kappa\) contains two elements a and b such that ...
Bonnet, Robert, Shelah, Saharon
openaire   +2 more sources

On the isomorphism problem of concept algebras [PDF]

open access: yes, 2010
Weakly dicomplemented lattices are bounded lattices equipped with two unary operations to encode a negation on {\it concepts}. They have been introduced to capture the equational theory of concept algebras \cite{Wi00}.
B Ganter   +9 more
core   +4 more sources

Superatomic Boolean algebras [PDF]

open access: yesPacific Journal of Mathematics, 1967
Abstract not ...
openaire   +3 more sources

A Note on 3×3-valued Łukasiewicz Algebras with Negation

open access: yesBulletin of the Section of Logic, 2021
In 2004, C. Sanza, with the purpose of legitimizing the study of n × m-valued Łukasiewicz algebras with negation (or NSn×m-algebras) introduced 3 × 3-valued Łukasiewicz algebras with negation.
Carlos Gallardo, Alicia Ziliani
doaj   +1 more source

Irredundant Decomposition of Algebras into One-Dimensional Factors [PDF]

open access: yes, 2016
We introduce a notion of dimension of an algebraic lattice and, treating such a lattice as the congruence lattice of an algebra, we introduce the dimension of an algebra, too. We define a star-product as a special kind of subdirect product. We obtain the
Staruch, Bogdan
core   +1 more source

A note on Maximality of ideal-independent sets [PDF]

open access: yes, 2012
In this note we derive a property of maximal ideal-independent subsets of boolean algebras which has corollaries regarding the continuum cardinals p and s_mm(P(omega)/fin)
Bruns, Corey Thomas
core   +3 more sources

Lie Triple Derivations on 𝒥-Subspace Lattice Algebras

open access: yesAbstract and Applied Analysis, 2014
We describe the structure of Lie triple derivations on 𝒥-subspace lattice algebras. The results can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras, respectively.
Ting Wang, Fangyan Lu
doaj   +1 more source

Some Properties of Complete Boolean Algebras [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
The main result of this paper is a characterization of the strongly algebraically closed algebras in the  lattice of all real-valued continuous functions and the equivalence classes of $\lambda$-measurable.
Ali Molkhasi
doaj   +1 more source

Some Types of Filters in Equality Algebras [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2017
Equality algebras were introduced by S. Jenei as a possible algebraic semantic for fuzzy type theory. In this paper, we introduce some types of filters such as (positive) implicative, fantastic, Boolean, and prime filters in equality algebras and we ...
Rajabali Borzooei   +2 more
doaj  

The Isomorphism Relation Between Tree-Automatic Structures [PDF]

open access: yes, 2010
An $\omega$-tree-automatic structure is a relational structure whose domain and relations are accepted by Muller or Rabin tree automata. We investigate in this paper the isomorphism problem for $\omega$-tree-automatic structures.
A. Blumensath   +17 more
core   +4 more sources

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