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  • Iterative monads were introduced by Calvin Elgot in the 1970's and are those ideal monads in which every guarded system of recursive equations has a unique solution. We prove that every ideal monad M has an iterative reflection, that is, an embedding into an iterative monad with the expected universal property. We also introduce the concept of iterativity for algebras for the monad M, following in the footsteps of Evelyn Nelson and Jerzy Tiuryn, and prove that M is iterative if and only if all free algebras for M are iterative algebras.
  • Iterative monads were introduced by Calvin Elgot in the 1970's and are those ideal monads in which every guarded system of recursive equations has a unique solution. We prove that every ideal monad M has an iterative reflection, that is, an embedding into an iterative monad with the expected universal property. We also introduce the concept of iterativity for algebras for the monad M, following in the footsteps of Evelyn Nelson and Jerzy Tiuryn, and prove that M is iterative if and only if all free algebras for M are iterative algebras. (en)
Title
  • Iterative Reflections of Monads
  • Iterative Reflections of Monads (en)
skos:prefLabel
  • Iterative Reflections of Monads
  • Iterative Reflections of Monads (en)
skos:notation
  • RIV/68407700:21230/10:00160019!RIV11-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6840770014)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 265059
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/10:00160019
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • ALGEBRAS; TREES (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [1AFB9DE23F37]
http://linked.open...i/riv/nazevZdroje
  • Mathematical Structures in Computer Science
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 20
http://linked.open...iv/tvurceVysledku
  • Velebil, Jiří
  • Milius, S.
  • Adamek, J.
http://linked.open...ain/vavai/riv/wos
  • 000278636600004
http://linked.open...n/vavai/riv/zamer
issn
  • 0960-1295
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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