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arXiv:1412.1159 [math.RT]AbstractReferencesReviewsResources

A note on generic objects and locally finite triangulated categories

Zhe Han

Published 2014-12-03Version 1

We show that the homotopy category of injective $A$-modules is generically trivial is equivalent the derived category of all modules is generically trivial for an algebra $A$. Moreover we show some connections between the generic objects, locally finiteness and Krull-Gabriel dimension.

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