On algebras with effectful iteration

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00327831" target="_blank" >RIV/68407700:21230/18:00327831 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-00389-0_9" target="_blank" >http://dx.doi.org/10.1007/978-3-030-00389-0_9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-00389-0_9" target="_blank" >10.1007/978-3-030-00389-0_9</a>

Result language
angličtina
Original language name
On algebras with effectful iteration
Original language description
For every finitary monad T on sets and every endofunctor F on the category of T-algebras we introduce the concept of an ffg-Elgot algebra for F, that is, an algebra admitting coherent solutions for finite systems of recursive equations with effects represented by the monad T. The goal of this paper is to study the existence and construction of free ffg-Elgot algebras. To this end, we investigate the locally ffg fixed point φF, the colimit of all F-coalgebras with free finitely generated carrier, which is shown to be the initial ffg-Elgot algebra. This is the technical foundation for our main result: the category of ffg-Elgot algebras is monadic over the category of T-algebras.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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