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arxiv: 1204.1693 · v1 · pith:QRYDR4KLnew · submitted 2012-04-08 · 🧮 math.RT · math.CT· math.RA

Derived equivalences between subrings

classification 🧮 math.RT math.CTmath.RA
keywords derivedequivalencessubringsabeliancategoryexactringssequence
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In this paper, we construct derived equivalences between two subrings of relevant $\Phi$-Auslander-Yoneda rings from an arbitrary short exact sequence in an abelian category. As a consequence, any short exact sequence in an abelian category gives rise to a derived equivalence between two subrings of endomorphism rings. These results generalize some methods on constructing derived equivalences.

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