Derived equivalences of upper-triangular ring spectra via lax limits
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...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-05-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.559/ |
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| author | Jasso, Gustavo |
| author_facet | Jasso, Gustavo |
| author_sort | Jasso, Gustavo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6025aae491d74bc693a6aa0d9293a1c2 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-6025aae491d74bc693a6aa0d9293a1c22025-02-07T11:19:53ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-05-01362G327928510.5802/crmath.55910.5802/crmath.559Derived equivalences of upper-triangular ring spectra via lax limitsJasso, Gustavo0https://orcid.org/0000-0002-9449-0033Lund University, Centre for Mathematical Sciences, Box 118, 22100 Lund, SwedenWe 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.559/Upper-triangular matrix ringderived equivalencesreflection functorsring spectrum |
| spellingShingle | Jasso, Gustavo Derived equivalences of upper-triangular ring spectra via lax limits Comptes Rendus. Mathématique Upper-triangular matrix ring derived equivalences reflection functors ring spectrum |
| title | Derived equivalences of upper-triangular ring spectra via lax limits |
| title_full | Derived equivalences of upper-triangular ring spectra via lax limits |
| title_fullStr | Derived equivalences of upper-triangular ring spectra via lax limits |
| title_full_unstemmed | Derived equivalences of upper-triangular ring spectra via lax limits |
| title_short | Derived equivalences of upper-triangular ring spectra via lax limits |
| title_sort | derived equivalences of upper triangular ring spectra via lax limits |
| topic | Upper-triangular matrix ring derived equivalences reflection functors ring spectrum |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.559/ |
| work_keys_str_mv | AT jassogustavo derivedequivalencesofuppertriangularringspectravialaxlimits |