@Article{DeSimoneMundiciNavaraCB, IS = { zkontrolovano 25 Mar 2004 }, author = {De~Simone, Anna and Mundici, Daniele and Navara, Mirko}, title = {A {C}antor-{B}ernstein theorem for Sigma-complete {MV}-algebras}, mynote = { S1999, R2000, A2000 }, mynote = {SXXXX}, authorship = {33-33-33}, importance = {1}, psurl = { [Po stScript] }, UPDATE = { 2003-09-05 }, journal = { Czechoslovak Mathematical Journal }, publisher = { Academy of Science Czech Republic, Mathematical Institute }, address = { Prague, Czech Republic }, issn = { 0011-4642 }, year = { 2003 }, volume = { 53 (128) }, pages = { 437--447 }, month = { June }, number = { 2 }, project = { VS96049, GACR 201/97/0437, COST Action 15 }, annote = { 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 luk 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 Jakub{\' \i } k for certain complete MV-algebras. }, keywords = { Cantor--Bernstein theorem, MV-algebra, boolean element of an MV-algebra, partition of unity, direct product decomposition, Sigma-complete MV-algebra }, }