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Cantor-Bernstein property for MV-algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F07%3A03137981" target="_blank" >RIV/68407700:21230/07:03137981 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Cantor-Bernstein property for MV-algebras

  • Original language description

    Generalizations of the Cantor -Bernstein theorem have been proved for different types of algebras. We ask which algebras satisfy the Cantor- Bernstein theorem without any additional assumption. In the case of orthomodular lattices, it has been proved that this class is rather large. We study the analogous question for MV-algebras and we find out interesting examples of MV-algebras which possess or do not possess this property.

  • Czech name

    Cantor-Bernstein property for MV-algebras

  • Czech description

    Generalizations of the Cantor -Bernstein theorem have been proved for different types of algebras. We ask which algebras satisfy the Cantor- Bernstein theorem without any additional assumption. In the case of orthomodular lattices, it has been proved that this class is rather large. We study the analogous question for MV-algebras and we find out interesting examples of MV-algebras which possess or do not possess this property.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F07%2F1136" target="_blank" >GA201/07/1136: Mathematics of Uncertainty</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2007

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Algebraic and Proof-theoretic Aspects of Non-classical Logics. Papers in Honor of Daniele Mundici on the Occasion of His 60th Birthday

  • ISBN

    978-3-540-75938-6

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    107-118

  • Publisher name

    Springer-Verlag

  • Place of publication

    Berlin

  • Event location

    Gargnano

  • Event date

    Mar 20, 2006

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article