Recollements and homological dimensions
Yongyun Qin
TL;DR
This paper explores how homological dimensions like selfinjective and $\
Contribution
It establishes new bounds relating homological dimensions across recollements of derived categories of algebras.
Findings
Derived categories' homological dimensions are bounded in new ways.
Recollements influence the selfinjective and $\
Bounds among homological dimensions are established for algebras linked by recollements.
Abstract
We investigate the behavior of the homological dimensions under recollements of derived categories of algebras. In particular, we establish a series of new bounds among the selfinjective dimension or -dimension of the algebras linked by recollements of derived module categories.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology