A Cantor-Bernstein theorem for $\sigma$-complete MV-algebras

Title:

A Cantor-Bernstein theorem for $\sigma$-complete MV-algebras

Creator:

de Simone, Anna , Mundici, Daniele , and Navara, Mirko

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:703e03ae-e389-4a24-aaf9-81a49a3a2a0d
uuid:703e03ae-e389-4a24-aaf9-81a49a3a2a0d

Subject:

Cantor-Bernstein theorem, MV-algebra, boolean element of an MV-algebra, partition of unity, direct product decomposition, and $\sigma $-complete MV-algebra

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The Cantor-Bernstein theorem was extended to $\sigma $-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 $\sigma $-complete MV-algebras, and compare it to a related result proved by Jakubík for certain complete MV-algebras.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

437-447

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:2

Harvested from:

CDK

Metadata only:

false