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How iterative reflections of monads are constructed

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00203111" target="_blank" >RIV/68407700:21230/13:00203111 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.ic.2013.02.003" target="_blank" >http://dx.doi.org/10.1016/j.ic.2013.02.003</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ic.2013.02.003" target="_blank" >10.1016/j.ic.2013.02.003</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    How iterative reflections of monads are constructed

  • Original language description

    Every ideal monad M on the category of sets is known to have a reflection hat{M} in the category of all iterative monads of Elgot. Here we describe the iterative reflection hat{M} as the monad of free iterative Eilenberg-Moore algebras for M. This yieldsnumerous concrete examples: if M is the free-semigroup monad, then hat{M} is obtained by adding a single absorbing element; if M is the monad of finite trees then hat{M} is the monad of rational trees, etc.

  • 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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Information and Computation

  • ISSN

    0890-5401

  • e-ISSN

  • Volume of the periodical

    225

  • Issue of the periodical within the volume

    apr

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    36

  • Pages from-to

    83-118

  • UT code for WoS article

    000317371800004

  • EID of the result in the Scopus database