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Implication and equivalential reducts of basic algebras

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10215575" target="_blank" >RIV/61989592:15310/10:10215575 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Implication and equivalential reducts of basic algebras

  • Original language description

    A term operation implication is introduced in a given basic al- gebra A and properties of the implication reduct of A are treated. We characterize such implication basic algebras and get congruence properties of the variety of these algebras. A term operation equivalence is introduced later and properties of this operation are described. It is shown how this op- eration is related with the induced partial order of A and, if this partial order is linear, the algebra A can be reconstructed by means of itsequivalential reduct.

  • Czech name

  • Czech description

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

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica

  • ISSN

    0231-9721

  • e-ISSN

  • Volume of the periodical

    49

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database