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Coupled right orthosemirings induced by orthomodular lattices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583167" target="_blank" >RIV/61989592:15310/17:73583167 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/content/pdf/10.1007%2Fs11083-015-9383-7.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs11083-015-9383-7.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11083-015-9383-7" target="_blank" >10.1007/s11083-015-9383-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Coupled right orthosemirings induced by orthomodular lattices

  • Original language description

    It is well known that to every Boolean algebra can be assigned the so-called Boolean ring. This is not possible for complemented lattices which are not Boolean. We introduce the so-called orthosemiring which can be assigned to every orthomodular lattice. Hence, in the logic of quantum mechanics, orthosemirings can serve similarly as Boolean rings do for the classical logic.

  • 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

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Order

  • ISSN

    0167-8094

  • e-ISSN

  • Volume of the periodical

    34

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    7

  • Pages from-to

    1-7

  • UT code for WoS article

    000398000200001

  • EID of the result in the Scopus database

    2-s2.0-84951815433