Weak homogeneity and Pierce’s theorem for $MV$-algebras

Ján Jakubík

The search session has expired. Please query the service again.

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

Similarity:

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

Similarity:

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.

On chains in $M V$ -algebras

Ján Jakubík (2001)

Mathematica Slovaca

Similarity:

On interval subalgebras of generalized MV-algebras

Ján Jakubík (2006)

Mathematica Slovaca

Similarity:

On product $M V$ -algebras

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

Similarity:

In this paper we apply the notion of the product $M V$ -algebra in accordance with the definition given by B. Riečan. We investigate the convex embeddability of an $M V$ -algebra into a product $M V$ -algebra. We found sufficient conditions under which any two direct product decompositions of a product $M V$ -algebra have isomorphic refinements.

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

On a homogeneity condition for M V -algebras

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

On chains in M V -algebras

On interval subalgebras of generalized MV-algebras

On product M V -algebras

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

On a homogeneity condition for $M V$ -algebras

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

On chains in $M V$ -algebras

On product $M V$ -algebras