2013
On semiflexible, flexible and pie algebras
BOURKE, John Denis and Richard Henry George GARNERBasic information
Original name
On semiflexible, flexible and pie algebras
Authors
BOURKE, John Denis (372 Ireland, guarantor, belonging to the institution) and Richard Henry George GARNER (826 United Kingdom of Great Britain and Northern Ireland)
Edition
Journal of Pure and Applied Algebra, North Holland, 2013, 0022-4049
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
General mathematics
Country of publisher
Netherlands
Confidentiality degree
is not subject to a state or trade secret
RIV identification code
RIV/00216224:14310/13:00072516
Organization
Přírodovědecká fakulta – Repository – Repository
UT WoS
000310047000011
Keywords in English
2-category pie limit
Links
LC505, research and development project.
Changed: 1/9/2020 19:21, RNDr. Daniel Jakubík
Abstract
V originále
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.
