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Left residuated lattices induced by lattices with a unary oparation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603114" target="_blank" >RIV/61989592:15310/20:73603114 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00500-019-04461-x" target="_blank" >https://link.springer.com/article/10.1007/s00500-019-04461-x</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00500-019-04461-x" target="_blank" >10.1007/s00500-019-04461-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Left residuated lattices induced by lattices with a unary oparation

  • Original language description

    In a previous paper, the authors defined two binary term operations in orthomodular lattices such that an orthomodular lattice can be organized by means of them into a left residuated lattice. It is a natural question if these operations serve in this way also for more general lattices than the orthomodular ones. In our present paper, we involve two conditions formulated as simple identities in two variables under which this is really the case. Hence, we obtain a variety of lattices with a unary operation which contains exactly those lattices with a unary operation which can be converted into a left residuated lattice by use of the above mentioned operations. It turns out that every lattice in this variety is in fact a bounded one and the unary operation is a complementation. Finally, we use a similar technique by using simpler terms and identities motivated by Boolean algebras.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SOFT COMPUTING

  • ISSN

    1432-7643

  • e-ISSN

  • Volume of the periodical

    24

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    7

  • Pages from-to

    "723 "- 729

  • UT code for WoS article

    000493720400003

  • EID of the result in the Scopus database

    2-s2.0-85097024235