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When the lexicographic product of two po-groups has the Riesz decomposition property

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583860" target="_blank" >RIV/61989592:15310/17:73583860 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/content/pdf/10.1007%2Fs00012-017-0447-y.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2Fs00012-017-0447-y.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00012-017-0447-y" target="_blank" >10.1007/s00012-017-0447-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    When the lexicographic product of two po-groups has the Riesz decomposition property

  • Original language description

    We study conditions when a certain type of the Riesz Decomposition Property (RDP for short) holds in the lexicographic product of two po-groups. Defining two important properties of po-groups, we extend known situations showing that the lexicographic product satisfies RDP or even , a stronger type of RDP. We recall that a very strong type of RDP, , entails that the group is lattice ordered. RDP&apos;s of the lexicographic products are important for the study of lexicographic pseudo effect algebras, or perfect types of pseudo MV-algebras and pseudo effect algebras, where infinitesimal elements play an important role both for algebras as well as for the first order logic of valid but not provable formulas.

  • 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/GA15-15286S" target="_blank" >GA15-15286S: Algebraic, many-valued and quantum structures for uncertainty modelling</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

    Algebra Universalis

  • ISSN

    0002-5240

  • e-ISSN

  • Volume of the periodical

    78

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    25

  • Pages from-to

    67-91

  • UT code for WoS article

    000407898700006

  • EID of the result in the Scopus database

    2-s2.0-85019963460