A Noether-Deuring theorem for derived categories
Alexander Zimmermann (LAMFA)
TL;DR
This paper extends the classical Noether-Deuring theorem to the derived category setting, providing new insights into the structure of complexes over Noetherian algebras.
Contribution
It introduces a Noether-Deuring theorem specifically for the derived category of bounded complexes over Noetherian algebras, a novel generalization.
Findings
Established a Noether-Deuring theorem in derived categories
Provided conditions under which complexes are isomorphic after base change
Enhanced understanding of derived category invariants
Abstract
We prove a Noether-Deuring theorem for the derived category of bounded complexes of modules over a Noetherian algebra.
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 · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research