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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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