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Boolean Rings that are Baire Spaces

Haydon, R. (2001)

Serdica Mathematical Journal

∗ The present article was originally submitted for the second volume of Murcia Seminar on Functional Analysis (1989). Unfortunately it has been not possible to continue with Murcia Seminar publication anymore. For historical reasons the present vesion correspond with the original one.Weak completeness properties of Boolean rings are related to the property of being a Baire space (when suitably topologised) and to renorming properties of the Banach spaces of continuous functions on the corresponding...

Boolean structure of triangular norms.

Seyed Abbas Ziaie, S. Ray, Mashallah Mashinchi, Rasool Kamran (1999)

Mathware and Soft Computing

In this note results obtained by S.Ray (1997) on representation of a Boolean algebra by its triangular norms are generalized.

Booleanization

B. Banaschewski, A. Pultr (1996)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Booleanization of uniform frames

Bernhard Banaschewski, Aleš Pultr (1996)

Commentationes Mathematicae Universitatis Carolinae

Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.

Cardinal invariants of ultraproducts of Boolean algebras

Andrzej Rosłanowski, Saharon Shelah (1998)

Fundamenta Mathematicae

We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.

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