#### Vol. 312, No. 1, 2021

 Recent Issues Vol. 321: 1  2 Vol. 320: 1  2 Vol. 319: 1  2 Vol. 318: 1  2 Vol. 317: 1  2 Vol. 316: 1  2 Vol. 315: 1  2 Vol. 314: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Contacts Submission Guidelines Submission Form Policies for Authors ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Special Issues Author Index To Appear Other MSP Journals
Derived decompositions of abelian categories I

### Hongxing Chen and Changchang Xi

Vol. 312 (2021), No. 1, 41–74
##### Abstract

Derived decompositions of abelian categories are introduced in internal terms of abelian subcategories. They are used to construct semiorthogonal decompositions (or in other terminology, Bousfield localizations, or hereditary torsion pairs) in derived categories of abelian categories. A sufficient condition is given for abelian categories to have derived decompositions. This is necessary if abelian categories have enough projectives and injectives. Applications are given to homological ring epimorphisms, localizing subcategories, nonsingular rings and commutative noetherian rings. Moreover, a derived stratification of module categories over commutative noetherian rings of Krull dimension at most $1$ is presented.

We have not been able to recognize your IP address 3.236.24.215 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.