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  • We introduce the notion of pie algebra for a 2-monad, these bearing the same relationship to the flexible and semiflexible algebras as pie limits do to flexible and semiflexible ones. We see that in many cases, the pie algebras are precisely those %22free at the level of objects%22 in a suitable sense; so that, for instance, a strict monoidal category is pie just when its underlying monoid of objects is free. Pie algebras are contrasted with flexible and semiflexible algebras via a series of characterisations of each class; particular attention is paid to the case of pie, flexible and semiflexible weights, these being characterised in terms of the behaviour of the corresponding weighted limit functors.
  • We introduce the notion of pie algebra for a 2-monad, these bearing the same relationship to the flexible and semiflexible algebras as pie limits do to flexible and semiflexible ones. We see that in many cases, the pie algebras are precisely those %22free at the level of objects%22 in a suitable sense; so that, for instance, a strict monoidal category is pie just when its underlying monoid of objects is free. Pie algebras are contrasted with flexible and semiflexible algebras via a series of characterisations of each class; particular attention is paid to the case of pie, flexible and semiflexible weights, these being characterised in terms of the behaviour of the corresponding weighted limit functors. (en)
Title
  • On semiflexible, flexible and pie algebras
  • On semiflexible, flexible and pie algebras (en)
skos:prefLabel
  • On semiflexible, flexible and pie algebras
  • On semiflexible, flexible and pie algebras (en)
skos:notation
  • RIV/00216224:14310/13:00072516!RIV14-MSM-14310___
http://linked.open...avai/riv/aktivita
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  • P(LC505)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Bourke, John Denis
http://linked.open.../riv/druhVysledku
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  • 93798
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/13:00072516
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  • 2-category pie limit (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [923ADE96ECFB]
http://linked.open...i/riv/nazevZdroje
  • Journal of Pure and Applied Algebra
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  • 217
http://linked.open...iv/tvurceVysledku
  • Bourke, John Denis
  • Garner, Richard Henry George
http://linked.open...ain/vavai/riv/wos
  • 000310047000011
issn
  • 0022-4049
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jpaa.2012.06.002
http://localhost/t...ganizacniJednotka
  • 14310
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