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On Universality of Semigroup Varieties

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F06%3A03123351" target="_blank" >RIV/68407700:21230/06:03123351 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/06:00002601

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Universality of Semigroup Varieties

  • Original language description

    Universality, Q-universality and determinacy are solved for varieties of semigroups that are nearly J-trivial. A semigroup variety V is nearly J-trivial if for every semigroup S in V any J-class is a singleton. It is proved that for a nearly J-trivial variety the following is equivalent: V is 3-determined, V is not var-relatively alg-universal, the lattice of all subquasivarieties of V is finite, V is a subvariety of one of two special finitely generated varieties

  • Czech name

    O universalitě ve varietách pologrup

  • Czech description

    Je vyřešena universalita, Q-universalita a určujícnost pro variety pologrup, které jsou téměř J-triviální. Varieta pologrup V je téměř J-triviální, jestliže pro každou pologrupu S z V platí, že každá J-třída je jednoprvková. Je dokázáno, že pro téměř J-triviální variety je následující ekvivalentní: V je 3-určující, V neni var-relatively alg-universální, svaz všech podkvazivariet V je konečný, V je podvarieta jedné ze dvou speciálních konečně generovaných variet.

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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archivum Mathematicum

  • ISSN

    0044-8753

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    30

  • Pages from-to

    357-386

  • UT code for WoS article

  • EID of the result in the Scopus database