Geodesic
On dimension theory for complexes
Sbornik. Mathematics, Tome 36 (1980) no. 4, pp. 469-481

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Passage from the category of modules to the derived category gives insight into some classical results of homological dimension theory, and also yields a proof of the nondegeneracy of the Yoneda multiplication $\operatorname{Ext}_A^p(k,\,\cdot\,)\times\operatorname{Ext}_A^{n-p}(\,\cdot\,,k)\to\operatorname{Ext}_A^n(k,k)=k$, where the argument is a noetherian module (or a finite complex with noetherian homology) and $A$ is a regular local ring. Bibliography: 9 titles. 
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A. F. Ivanov. On dimension theory for complexes. Sbornik. Mathematics, Tome 36 (1980) no. 4, pp. 469-481. http://geodesic.mathdoc.fr/item/SM_1980_36_4_a1/