Recollements of Module Categories |
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Authors: | Chrysostomos Psaroudakis Jorge Vitória |
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Affiliation: | 1. Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece 2. Fakult?t für Mathematik, Universit?t Bielefeld, Postfach 10 01 31, 33501, Bielefeld, Germany
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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. |
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