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Riesz decomposition properties and the lexicographic product of po-groups

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33161654" target="_blank" >RIV/61989592:15310/16:33161654 - isvavai.cz</a>

  • Result on the web

    <a href="http://link.springer.com/article/10.1007%2Fs00500-015-1903-2" target="_blank" >http://link.springer.com/article/10.1007%2Fs00500-015-1903-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00500-015-1903-2" target="_blank" >10.1007/s00500-015-1903-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Riesz decomposition properties and the lexicographic product of po-groups

  • Original language description

    We establish conditions when a certain type of the Riesz decomposition property (RDP) holds in the lexicographic product of two po-groups. It is well known that the resulting product is an -group if and only if the first one is linearly ordered and the second one is an -group. This can be equivalently studied as po-groups with a special type of the RDP. In the paper we study three different types of RDPs. RDPs of the lexicographic products are important for the study of 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>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

    2016

  • 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: a fusion of foundations, methodologies and applications

  • ISSN

    1432-7643

  • e-ISSN

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    15

  • Pages from-to

    2103-2117

  • UT code for WoS article

    000376103900002

  • EID of the result in the Scopus database