@InProceedings{DeSimoneNavaraPtak:QS04, IS = { zkontrolovano 13 Jan 2005 }, UPDATE = { 2004-11-27 }, author = {De~Simone, Anna and Navara, Mirko and Pt{\'a}k, Pavel}, title = {{C}antor--{B}ernstein theorems for quantum structures}, year = {2004}, pages = {12--12}, booktitle = {Quantum Structures 2004}, editor = {J.~Harding}, publisher = {New Mexico State University}, address = {Las Cruces, New Mexico, USA}, isbn = {none}, book_pages = {67}, month = {July}, day = {17-22}, venue = {Denver, Colorado, USA}, organization ={University of Denver}, annote = {The classical Cantor-Bernstein theorem constructs a bijection between two sets from injective mappings. Recently many generalizations were found, e.g. for MV-algebras, orthomodular lattices, effect algebras, distributive lattices, etc. All these approaches required some sigma-completeness condition and further restrictions on the isomorphic intervals. We have suggested a generalization in another direction: we study the class of structures which satisfy the Cantor-Bernstein theorem without any additional restrictions.}, keywords = {Cantor-Bernstein theorem, MV-algebra, orthomodular lattice, effect algebra, distributive lattice}, prestige = {important}, importance = {1}, authorship = {33-33-33}, project = {GACR 201/03/0455}, }