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Implication algebras.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F06%3A00003228" target="_blank" >RIV/61989592:15310/06:00003228 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Implication algebras.

  • Original language description

    We introduce the concepts of pre-implication algebry and implication algebry base on orthosemilattices which generalize the concept of implication algebra defined by J.C. Abbott [2] and orthomodular implication algebra introduced by the author with his collaborators. For our algebras w get new axiom systens compatible with that of an implication algebra. This unified approach enables us to compare the mentioned algebras and apply a unified treatment of congruence prpperities.

  • Czech name

    Implikační algebry

  • Czech description

    Zavádíme pojem pre-implikační algebry odvozené z orthopolosvazu, která zobecňuje pojem implikační algebry a orthoimplikační algebry zavedené J.C. Abbottem, a othomodulární implikační algebry, zavedené autorem a jeho spolupracovníky. Pro tyto algebry odvodíme axiomatický systém kompatibilní s axiomatickým systémem implikačních algeber. Tím je unifikován přístup ke zmíněným algebrám a lze tedy také takto unifikovatzkoumání kongruenčních vlastností.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Discussiones Mathematicae - General Algebra and Applications

  • ISSN

    1234-3072

  • e-ISSN

  • Volume of the periodical

    26

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    PL - POLAND

  • Number of pages

    13

  • Pages from-to

    141-153

  • UT code for WoS article

  • EID of the result in the Scopus database