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Another version of cosupport in ${\rm D}(R)$
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 431-452
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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.
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.
DOI : 10.21136/CMJ.2023.0282-21
Classification : 13D07, 13D09, 13E05
Keywords: cosupport; support; coassociated prime; associated prime 
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Qin, Junquan; Yang, Xiaoyan. Another version of cosupport in ${\rm D}(R)$. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 431-452. doi: 10.21136/CMJ.2023.0282-21

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