Recollements of derived categories III: finitistic dimensions

• Published in: arXiv.org
• Main Authors: Chen, Hongxing, Changchang Xi
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 20.05.2014
• Subjects: Algebra; Homology; Rings (mathematics); Sequences; Upper bounds

In this paper, we study homological dimensions of algebras linked by recollements of derived module categories, and establish a series of new upper bounds and relationships among their finitistic or global dimensions. This is closely related to a longstanding conjecture, the finitistic dimension con...