We establish a correspondence between recollements of abelian categories up to equivalence and certain TTF-triples. For a module category we show, moreover, a correspondence with idempotent ideals, recovering a theorem of Jans. Furthermore, we show that a recollement whose terms are module categories is equivalent to one induced by an idempotent element, thus answering a question by Kuhn.
Recollements of module categories
Vitória, Jorge
2014-01-01
Abstract
We establish a correspondence between recollements of abelian categories up to equivalence and certain TTF-triples. For a module category we show, moreover, a correspondence with idempotent ideals, recovering a theorem of Jans. Furthermore, we show that a recollement whose terms are module categories is equivalent to one induced by an idempotent element, thus answering a question by Kuhn.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Recollements of Module Categories - Corrections.pdf
Solo gestori archivio
Descrizione: Articolo principale
Tipologia:
versione post-print
Dimensione
375.23 kB
Formato
Adobe PDF
|
375.23 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
