Geodesic
Annihilation of cohomology and decompositions of derived categories
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 231-237.

Voir la notice de l'article provenant de la source International Press of Boston

It is proved that an element $r$ in the center of a coherent ring $\Lambda$ annihilates $\mathrm{Ext}^{n}_{\Lambda}(M,N)$, for some positive integer $n$ and all finitely presented $\Lambda$-modules $M$ and $N$, if and only if the bounded derived category of $\Lambda$ is an extension of the subcategory consisting of complexes annihilated by $r$ and those obtained as $n$-fold extensions of $\Lambda$. This has applications to finiteness of dimension of derived categories.
DOI : 10.4310/HHA.2014.v16.n2.a12
Classification : 16E30, 16E35, 18G25
Keywords: cohomology annihilator, derived category, projective class 
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Srikanth B. Iyengar; Ryo Takahashi. Annihilation of cohomology and decompositions of derived categories. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 231-237. doi : 10.4310/HHA.2014.v16.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a12/

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