English

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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R2 v1 2026-06-21T23:56:46.685Z