English

Derived equivalences of upper-triangular ring spectra via lax limits

Representation Theory 2024-05-29 v3 Algebraic Topology

Abstract

We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings from ordinary rings to ring spectra. Our result also extends an analogous theorem of Maycock for differential graded algebras.

Cite

@article{arxiv.2306.12396,
  title  = {Derived equivalences of upper-triangular ring spectra via lax limits},
  author = {Gustavo Jasso},
  journal= {arXiv preprint arXiv:2306.12396},
  year   = {2024}
}

Comments

7 pages. v2: Changed title. Added reference to previous work of Maycock and other minor edits. v3: Changed title (again). Added some applications of the main theorem. Accepted for publication in C. R. Math. Acad. Sci. Paris

R2 v1 2026-06-28T11:10:57.589Z