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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F13%3A00072516%21RIV14-MSM-14310___
rdf:type
n9:Vysledek skos:Concept
dcterms:description
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.
dcterms:title
On semiflexible, flexible and pie algebras On semiflexible, flexible and pie algebras
skos:prefLabel
On semiflexible, flexible and pie algebras On semiflexible, flexible and pie algebras
skos:notation
RIV/00216224:14310/13:00072516!RIV14-MSM-14310___
n9:predkladatel
n10:orjk%3A14310
n4:aktivita
n5:P
n4:aktivity
P(LC505)
n4:cisloPeriodika
2
n4:dodaniDat
n12:2014
n4:domaciTvurceVysledku
Bourke, John Denis
n4:druhVysledku
n19:J
n4:duvernostUdaju
n11:S
n4:entitaPredkladatele
n14:predkladatel
n4:idSjednocenehoVysledku
93798
n4:idVysledku
RIV/00216224:14310/13:00072516
n4:jazykVysledku
n15:eng
n4:klicovaSlova
2-category pie limit
n4:klicoveSlovo
n13:2-category%20pie%20limit
n4:kodStatuVydavatele
NL - Nizozemsko
n4:kontrolniKodProRIV
[923ADE96ECFB]
n4:nazevZdroje
Journal of Pure and Applied Algebra
n4:obor
n8:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n18:LC505
n4:rokUplatneniVysledku
n12:2013
n4:svazekPeriodika
217
n4:tvurceVysledku
Garner, Richard Henry George Bourke, John Denis
n4:wos
000310047000011
s:issn
0022-4049
s:numberOfPages
29
n16:doi
10.1016/j.jpaa.2012.06.002
n17:organizacniJednotka
14310