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 Recent Issues Online First Volume 1, Issue 1

### A classification of nullity classes in the derived category of a ring

Pages: 14 – 29

#### Authors

Yong Liu and Donald Stanley

#### Abstract

We study the nullity classes in the full triangulated subcategory $$D^{cof}_{fg}(R)$$ of the derived category $$D(R)$$, where $$R$$ is a commutative noetherian ring of finite Krull dimension. In this subcategory $$D^{cof}_{fg}(R)$$, every object can be represented by a cofibrant complex of finitely generated $$R$$-modules. Using the perversity functions, we obtain a complete invariant of nullity classes in $$D^{cof}_{fg}(R)$$, which classifies the aisles, or equivalently, the $$t$$-structures in the same category.

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Received: 2 June 2019; Accepted: 18 June 2019.