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Distributive laws between the Three Graces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00518250" target="_blank" >RIV/67985840:_____/19:00518250 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.tac.mta.ca/tac/volumes/34/41/34-41abs.html" target="_blank" >http://www.tac.mta.ca/tac/volumes/34/41/34-41abs.html</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Distributive laws between the Three Graces

  • Original language description

    By the Three Graces we refer, following J.-L. Loday, to the algebraic operads Ass, Com, and Lie, each generated by a single binary operation, algebras over these operads are respectively associative, commutative associative, and Lie. We classify all distributive laws (in the categorical sense of Beck) between these three operads. Some of our results depend on the computer algebra system Maple, especially its packages LinearAlgebra and Groebner.

  • 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/GA18-07776S" target="_blank" >GA18-07776S: Higher structures in algebra, geometry and mathematical physics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Theory and Applications of Categories

  • ISSN

    1201-561X

  • e-ISSN

  • Volume of the periodical

    34

  • Issue of the periodical within the volume

    41

  • Country of publishing house

    CA - CANADA

  • Number of pages

    26

  • Pages from-to

    1317-1342

  • UT code for WoS article

    000509274100018

  • EID of the result in the Scopus database

    2-s2.0-85076373841