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arxiv: 1304.2692 · v1 · pith:LK5XUXVWnew · submitted 2013-04-09 · 🧮 math.RT · math.CT· math.RA

Recollements of Module Categories

classification 🧮 math.RT math.CTmath.RA
keywords categoriesmodulecorrespondenceidempotentrecollementsabelianansweringcategory
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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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