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A Cantor-Bernstein theorem for $$\sigma$$-complete MV-algebras. (English) Zbl 1024.06003
Summary: The Cantor-Bernstein theorem was extended to $$\sigma$$-complete Boolean algebras by R. Sikorski and A. 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 J. Jakubík for certain complete MV-algebras.

##### MSC:
 06D35 MV-algebras 03G20 Logical aspects of Łukasiewicz and Post algebras
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##### References:
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