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Basic algebras and their applications, an overview

Result description

Basic algebras were introduced as a common algebraic axiomatization of the logic of quantum mechanics and many-valued Lukasiewicz logics. These are equivalent to bounded lattices having antitone involutions in every section. The paper contains principalresults on basic algebras and shows their connections to MV-algebras and orthomodular lattices. Application of basic algebras are shown for the so-called effect algebras.

Keywords

basic algebraMV-algebraorthomodular latticeeffect algebra

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Basic algebras and their applications, an overview

  • Original language description

    Basic algebras were introduced as a common algebraic axiomatization of the logic of quantum mechanics and many-valued Lukasiewicz logics. These are equivalent to bounded lattices having antitone involutions in every section. The paper contains principalresults on basic algebras and shows their connections to MV-algebras and orthomodular lattices. Application of basic algebras are shown for the so-called effect algebras.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Contributions to General Algebra 20

  • ISBN

    978-3-7084-0447-9

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    1-10

  • Publisher name

    Johannes Heyn Verlag

  • Place of publication

    Klagenfurt

  • Event location

    Salzburg

  • Event date

    Feb 3, 2011

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

Result type

D - Article in proceedings

D

CEP

BA - General mathematics

Year of implementation

2011