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@article{1168455,
author = {Bourke, John Denis and Garner, Richard Henry George},
article_number = {2},
doi = {http://dx.doi.org/10.1016/j.jpaa.2012.06.002},
keywords = {2-category pie limit},
language = {eng},
issn = {0022-4049},
journal = {Journal of Pure and Applied Algebra},
title = {On semiflexible, flexible and pie algebras},
volume = {217},
year = {2013}
}
TY - JOUR
ID - 1168455
AU - Bourke, John Denis - Garner, Richard Henry George
PY - 2013
TI - On semiflexible, flexible and pie algebras
JF - Journal of Pure and Applied Algebra
VL - 217
IS - 2
SP - 293-321
EP - 293-321
PB - North Holland
SN - 00224049
KW - 2-category pie limit
N2 - 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 "free at the level of objects" 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.
ER -
BOURKE, John Denis a Richard Henry George GARNER. On semiflexible, flexible and pie algebras. \textit{Journal of Pure and Applied Algebra}. North Holland, 2013, roč.~217, č.~2, s.~293-321. ISSN~0022-4049. Dostupné z: https://dx.doi.org/10.1016/j.jpaa.2012.06.002.
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