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Beyond wreath and block

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73616627" target="_blank" >RIV/61989592:15310/22:73616627 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00233-022-10291-5" target="_blank" >https://link.springer.com/article/10.1007/s00233-022-10291-5</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00233-022-10291-5" target="_blank" >10.1007/s00233-022-10291-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Beyond wreath and block

  • Original language description

    We investigate a semigroup construction generalising the two-sided wreath product. We develop the foundations of this construction and show that for groups it is isomorphic to the usual wreath product. We also show that it gives a slightly finer version of the decomposition in the Krohn-Rhodes Theorem, in which the three-element flip-flop monoid is replaced by the two-element semilattice.

  • 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

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SEMIGROUP FORUM

  • ISSN

    0037-1912

  • e-ISSN

    1432-2137

  • Volume of the periodical

    105

  • Issue of the periodical within the volume

    AUG

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    21

  • Pages from-to

    96-116

  • UT code for WoS article

    000806662200001

  • EID of the result in the Scopus database

    2-s2.0-85131425432