### On a problem of Sikorski in the set representability of Boolean algebras

Robert Lagrange (1974)

Colloquium Mathematicae

Similarity:

Skip to main content (access key 's'),
Skip to navigation (access key 'n'),
Accessibility information (access key '0')

Robert Lagrange (1974)

Colloquium Mathematicae

Similarity:

Brian Wynne (2008)

Fundamenta Mathematicae

Similarity:

Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.

Karel Prikry (1971)

Colloquium Mathematicae

Similarity:

Abad Manuel, Cimadamore Cecilia, Díaz Varela José (2009)

Open Mathematics

Similarity:

In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.

Giuliana Gnani, Giuliano Mazzanti (1999)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Žarko Mijajlović (1979)

Publications de l'Institut Mathématique

Similarity:

Marek Balcerzak, Artur Bartoszewicz, Piotr Koszmider (2004)

Colloquium Mathematicae

Similarity:

We construct algebras of sets which are not MB-representable. The existence of such algebras was previously known under additional set-theoretic assumptions. On the other hand, we prove that every Boolean algebra is isomorphic to an MB-representable algebra of sets.

Janusz Czelakowski (1981)

Colloquium Mathematicae

Similarity:

Mijajlović, Z̆arko (1985)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

Ivan Chajda, Günther Eigenthaler (2009)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).

Janusz Czelakowski (1978)

Colloquium Mathematicae

Similarity: