Another version of cosupport in $\mathrm{D}\left(R\right)$

Qin, Junquan, and Yang, Xiao Yan. "Another version of cosupport in ${\rm D}(R)$." Czechoslovak Mathematical Journal 73.2 (2023): 431-452. <http://eudml.org/doc/299361>.

@article{Qin2023,
abstract = {The goal of the article is to develop a theory dual to that of support in the derived category $\{\rm D\}(R)$. This is done by introducing ‘big’ and ‘small’ cosupport for complexes that are different from the cosupport in D. J. Benson, S. B. Iyengar, H. Krause (2012). We give some properties for cosupport that are similar, or rather dual, to those of support for complexes, study some relations between ‘big’ and ‘small’ cosupport and give some comparisons of support and cosupport. Finally, we investigate the dual notion of associated primes.},
author = {Qin, Junquan, Yang, Xiao Yan},
journal = {Czechoslovak Mathematical Journal},
keywords = {cosupport; support; coassociated prime; associated prime},
language = {eng},
number = {2},
pages = {431-452},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Another version of cosupport in $\{\rm D\}(R)$},
url = {http://eudml.org/doc/299361},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Qin, Junquan
AU - Yang, Xiao Yan
TI - Another version of cosupport in ${\rm D}(R)$
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 2
SP - 431
EP - 452
AB - The goal of the article is to develop a theory dual to that of support in the derived category ${\rm D}(R)$. This is done by introducing ‘big’ and ‘small’ cosupport for complexes that are different from the cosupport in D. J. Benson, S. B. Iyengar, H. Krause (2012). We give some properties for cosupport that are similar, or rather dual, to those of support for complexes, study some relations between ‘big’ and ‘small’ cosupport and give some comparisons of support and cosupport. Finally, we investigate the dual notion of associated primes.
LA - eng
KW - cosupport; support; coassociated prime; associated prime
UR - http://eudml.org/doc/299361
ER -