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arXiv · 1109.6072

A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category

Kosmas Diveris·Marju Purin
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Abstract

We study the bounded derived category $\D^b(\Rmod)$ of a left Noetherian ring $R$. We give a version of the Generalized Auslander-Reiten Conjecture for $\D^b(\Rmod)$ that is equivalent to the classical statement for the module category and is preserved under derived equivalence.

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BibTeXRIS

Kosmas Diveris, Marju Purin. 2011-09-28. A Generalization of the Auslander-Reiten Conjecture for the Bounded Derived Category. https://doi.org/10.1007/s00013-012-0401-3

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