Recollements of Module Categories
Representation Theory
2013-04-10 v1 Category Theory
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1304.2692,
title = {Recollements of Module Categories},
author = {Chrysostomos Psaroudakis and Jorge Vitoria},
journal= {arXiv preprint arXiv:1304.2692},
year = {2013}
}
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