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The poset of morphism-extension classes of countable graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10489759" target="_blank" >RIV/00216208:11320/22:10489759 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=rDq4WlAyB-" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=rDq4WlAyB-</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1515/ms-2022-0036" target="_blank" >10.1515/ms-2022-0036</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The poset of morphism-extension classes of countable graphs

  • Original language description

    Let XYL,T consist of all countable L-structures M that satisfy the axioms T and in which all homomorphisms of type X (these could be plain homomorphisms, monomorphisms, or isomorphisms) between finite substructures of M are restrictions of an endomorphism of M of type Y (for example, an automorphism or a surjective endomorphism). Lockett and Truss introduced 18 such classes for relational structures. For a given pair L, T however, two or more morphism-extension properties may define the same class of structures. In this paper, we establish all equalities and inequalities between morphism-extension classes of countable graphs.

  • 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/GA21-10775S" target="_blank" >GA21-10775S: Ramsey theory in the context of group theory, model theory and topological dynamics</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematica Slovaca

  • ISSN

    0139-9918

  • e-ISSN

    1337-2211

  • Volume of the periodical

    72

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    16

  • Pages from-to

    539-554

  • UT code for WoS article

    000809194400001

  • EID of the result in the Scopus database

    2-s2.0-85132223671