Abelian recollements of categories of modules over preadditive categories
Simone Virili (Università degli studi di Udine)
Abstract: Psaroudakis and Vitoria have established that, for a category of modules over a unitary ring, there is a correspondence between Abelian recollements by categories of modules and idempotent elements in the ring. In this talk we show how to extend this results to modules over preadditive categories (i.e., rings with several objects). In this more general setting, some of the proofs actually get simplified and the result can be probably better understood. Finally, we apply the same methods to construct an example of a locally finitely presented Grothendieck (Ab.4*) category that does not have enough projectives.
category theoryrepresentation theory
Audience: researchers in the topic
Additive categories between algebra and functional analysis
Series comments: Aims & Scope: Exchange ideas and foster collaboration between researchers from representation theory and functional analysis working on categorical aspects of the theory. In addition to research talks, there will be four mini-courses of introductory character.
The instructions to join the meeting are available on the website: cats2021.github.io/ Registration is open.
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| Organizers: | Thomas Brüstle*, Souheila Hassoun, Amit Shah, Sven-Ake Wegner |
| *contact for this listing |