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A Note on Generic Objects and Locally Finite Triangulated Categories

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Abstract

For a finite dimensional algebra A, we prove that the homotopy category of injective A-modules is generically trivial if and only if the derived category of all A-modules is generically trivial. Moreover we show some connections between the generic objects, locally finiteness and Krull-Gabriel dimension.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University, Kaifeng, Henan, 475001, China

    Zhe Han

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  1. Zhe Han
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Correspondence to Zhe Han.

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Han, Z. A Note on Generic Objects and Locally Finite Triangulated Categories. Appl Categor Struct 24, 875–884 (2016). https://doi.org/10.1007/s10485-015-9410-2

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  • DOI: https://doi.org/10.1007/s10485-015-9410-2

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