Displaying similar documents to “Weak homogeneity and Pierce’s theorem for M V -algebras”

On a homogeneity condition for M V -algebras

Ján Jakubík (2006)

Czechoslovak Mathematical Journal

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In this paper we deal with a homogeneity condition for an M V -algebra concerning a generalized cardinal property. As an application, we consider the homogeneity with respect to α -completeness, where α runs over the class of all infinite cardinals.

A Cantor-Bernstein theorem for σ -complete MV-algebras

Anna de Simone, Daniele Mundici, Mirko Navara (2003)

Czechoslovak Mathematical Journal

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The Cantor-Bernstein theorem was extended to σ -complete boolean algebras by Sikorski and Tarski. Chang’s MV-algebras are a nontrivial generalization of boolean algebras: they stand to the infinite-valued calculus of Łukasiewicz as boolean algebras stand to the classical two-valued calculus. In this paper we further generalize the Cantor-Bernstein theorem to σ -complete MV-algebras, and compare it to a related result proved by Jakubík for certain complete MV-algebras.