"On semiflexible, flexible and pie algebras"@en . "On semiflexible, flexible and pie algebras" . . "RIV/00216224:14310/13:00072516!RIV14-MSM-14310___" . "RIV/00216224:14310/13:00072516" . "29"^^ . "Journal of Pure and Applied Algebra" . . . "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." . "[923ADE96ECFB]" . "2" . "Garner, Richard Henry George" . "Bourke, John Denis" . "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 . . "On semiflexible, flexible and pie algebras"@en . . "000310047000011" . . "2-category pie limit"@en . . . "2"^^ . . . "On semiflexible, flexible and pie algebras" . "P(LC505)" . "10.1016/j.jpaa.2012.06.002" . "14310" . "0022-4049" . . "Bourke, John Denis" . "1"^^ . . "NL - Nizozemsko" . . "93798" . "217" .