Lower bounds for levels of complexes by resolution dimensions
Abstract
Let [Formula: see text] be an abelian category. Denote by [Formula: see text] the bounded derived category of [Formula: see text]. In this paper, we investigate the lower bounds for the levels of objects in [Formula: see text] with respect to a (co)resolving subcategory satisfying a certain condition. As an application, we not only recover the results of Altmann–Grifo–Montaño–Sanders–Vu, and Awadalla–Marley but also extend them to establish lower bounds for levels with respect to some other subcategories in an abelian category.
Fields of Study & Subjects
Computational Drug Discovery Methods
History and advancements in chemistry
Publication details
- Journal / source
- Journal of Algebra and Its Applications
- Publisher
- World Scientific Pub Co Pte Ltd
- Publication date
- 2 September 2026
- Language
- EN