About: How iterative reflections of monads are constructed

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1016/j.ic.2013.02.003
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 yields numerous 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. 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 yields numerous 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. (en)
Title	How iterative reflections of monads are constructed How iterative reflections of monads are constructed (en)
skos:prefLabel	How iterative reflections of monads are constructed How iterative reflections of monads are constructed (en)
skos:notation	RIV/68407700:21230/13:00203111!RIV14-MSM-21230___
http://linked.open...avai/predkladatel	Fakulta elektrotechnická
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770014)
http://linked.open...iv/cisloPeriodika	apr
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Velebil, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	78143
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/13:00203111
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Monad; Iterative theory; Recursive equations; Equational laws (en)
http://linked.open.../riv/klicoveSlovo	Equational laws Iterative theory Recursive equations Monad
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[327598AAE435]
http://linked.open...i/riv/nazevZdroje	Information and Computation
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	225
http://linked.open...iv/tvurceVysledku	Velebil, Jiří Adámek, J. Milius, S.
http://linked.open...ain/vavai/riv/wos	000317371800004
http://linked.open...n/vavai/riv/zamer	Výzkum perspektivních informačních a komunikačních technologií
issn	0890-5401
number of pages	36 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ic.2013.02.003
http://localhost/t...ganizacniJednotka	21230

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