Derived equivalences induced by big cotilting modules

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10287322" target="_blank" >RIV/00216208:11320/14:10287322 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aim.2014.06.007" target="_blank" >http://dx.doi.org/10.1016/j.aim.2014.06.007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2014.06.007" target="_blank" >10.1016/j.aim.2014.06.007</a>

Result language
angličtina
Original language name
Derived equivalences induced by big cotilting modules
Original language description
We prove that given a Grothendieck category G with a tilting object of finite projective dimension, the induced triangle equivalence sends an injective cogenerator of G to a big cotilting module. Moreover, every big cotilting module can be constructed like that in an essentially unique way. We also prove that the triangle equivalence is at the base of an equivalence of derivators, which in turn is induced by a Quillen equivalence with respect to suitable abelian model structures on the corresponding categories of complexes.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)