The tilting-cotilting correspondence

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00537019" target="_blank" >RIV/67985840:_____/21:00537019 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10436783
Result on the web
<a href="https://doi.org/10.1093/imrn/rnz116" target="_blank" >https://doi.org/10.1093/imrn/rnz116</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imrn/rnz116" target="_blank" >10.1093/imrn/rnz116</a>

Result language
angličtina
Original language name
The tilting-cotilting correspondence
Original language description
To a big n-tilting object in a complete, cocomplete abelian category A with an injective cogenerator we assign a big n-cotilting object in a complete, cocomplete abelian category B with a projective generator and vice versa. Then we construct an equivalence between the (conventional or absolute) derived categories of A and B. Under various assumptions on A⁠, which cover a wide range of examples (for instance, if A is a module category or, more generally, a locally finitely presentable Grothendieck abelian category), we show that B is the abelian category of contramodules over a topological ring and that the derived equivalences are realized by a contramodule-valued variant of the usual derived Hom functor.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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