BOURKE, John Denis and Richard Henry George GARNER. On semiflexible, flexible and pie algebras. Journal of Pure and Applied Algebra. North Holland, 2013, vol. 217, No 2, p. 293-321. ISSN 0022-4049. doi:10.1016/j.jpaa.2012.06.002.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.578
RIV identification code RIV/00216224:14310/13:00072516
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.jpaa.2012.06.002
UT WoS 000310047000011
Keywords in English 2-category pie limit
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 28. 4. 2014 16:32.
Abstract
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.
Links
LC505, research and development projectName: Centrum Eduarda Čecha pro algebru a geometrii
Investor: Ministry of Education, Youth and Sports of the CR, Eduard Čech Center for Algebra and Geometry
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