no. G3
Article de recherche - Algèbre, Théorie des représentations
Derived equivalences of upper-triangular ring spectra via lax limits
[Équivalences dérivées de spectres en anneaux triangulaires supérieurs via limites laxes]
Jasso, Gustavo1 orcid
1Lund University, Centre for Mathematical Sciences, Box 118, 22100 Lund, Sweden
Comptes Rendus. Mathématique, Tome 362 (2024) no. G3, pp. 279-285

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.

Nous étendons un théorème de Ladkani concernant les équivalences dérivées entre les anneaux à matrice triangulaire supérieure aux spectres en anneaux. Notre résultat étend également un théorème analogue de Maycock pour les algèbres différentielles graduées. Nous illustrons le résultat principal par certaines équivalences canoniques déterminés par un spectre en anneaux lisse ou propre.

Reçu le :
Révisé le :
Accepté le :
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DOI : 10.5802/crmath.559
Classification : 18G80
Keywords: Upper-triangular matrix ring, derived equivalences, reflection functors, ring spectrum
Mots-clés : Anneaux de matrices triangulaires supérieures, équivalences dérivées, foncteurs de réflexion, spectre en anneaux

Jasso, Gustavo  1

1 Lund University, Centre for Mathematical Sciences, Box 118, 22100 Lund, Sweden
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Derived equivalences of upper-triangular ring spectra via lax limits},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {279--285},
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Jasso, Gustavo. Derived equivalences of upper-triangular ring spectra via lax limits. Comptes Rendus. Mathématique, Tome 362 (2024) no. G3, pp. 279-285. doi: 10.5802/crmath.559

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