Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 133-153
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A. I. Generalov. $QF$-proper classes and relative stable categories. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 133-153. http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a5/
@article{ZNSL_2001_281_a5,
author = {A. I. Generalov},
title = {$QF$-proper classes and relative stable categories},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {133--153},
year = {2001},
volume = {281},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a5/}
}
TY - JOUR
AU - A. I. Generalov
TI - $QF$-proper classes and relative stable categories
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 133
EP - 153
VL - 281
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a5/
LA - ru
ID - ZNSL_2001_281_a5
ER -
A relative version of Rickard's theorem is proved, namely, if $\omega$ is a quasi-Frobenius proper class of short sequences in an Abelian category $\mathscr A$, then $\omega$-stable category of the category $\mathscr A$, is a quotient category of the relative bounded derived category $D^b_{\omega}(\mathscr A)$.