Derived equivalences of upper-triangular ring spectra via lax limits
(2024) In Comptes Rendus Mathematique 362. p.279-285- Abstract
We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings to ring spectra. Our result also extends an analogous theorem of Maycock for differential graded algebras. We illustrate the main result with certain canonical equivalences determined by a smooth or proper ring spectrum.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3ec21385-3c1e-495c-888b-167ac66d31af
- author
- Jasso, Gustavo LU
- organization
- publishing date
- 2024
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- derived equivalences, reflection functors, ring spectrum, Upper-triangular matrix ring
- in
- Comptes Rendus Mathematique
- volume
- 362
- pages
- 7 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:85193058828
- ISSN
- 1631-073X
- DOI
- 10.5802/crmath.559
- language
- English
- LU publication?
- yes
- id
- 3ec21385-3c1e-495c-888b-167ac66d31af
- date added to LUP
- 2024-05-28 14:58:53
- date last changed
- 2024-05-28 14:59:59
@article{3ec21385-3c1e-495c-888b-167ac66d31af,
abstract = {{<p>We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings to ring spectra. Our result also extends an analogous theorem of Maycock for differential graded algebras. We illustrate the main result with certain canonical equivalences determined by a smooth or proper ring spectrum.</p>}},
author = {{Jasso, Gustavo}},
issn = {{1631-073X}},
keywords = {{derived equivalences; reflection functors; ring spectrum; Upper-triangular matrix ring}},
language = {{eng}},
pages = {{279--285}},
publisher = {{Elsevier}},
series = {{Comptes Rendus Mathematique}},
title = {{Derived equivalences of upper-triangular ring spectra via lax limits}},
url = {{http://dx.doi.org/10.5802/crmath.559}},
doi = {{10.5802/crmath.559}},
volume = {{362}},
year = {{2024}},
}