Relative singularity categories and Gorenstein-projective modules
نویسندگان
چکیده
منابع مشابه
Relative Singularity Categories and Gorenstein-projective Modules
We introduce the notion of relative singularity category with respect to any self-orthogonal subcategory ω of an abelian category. We introduce the Frobenius category of ω-Cohen-Macaulay objects, and under some reasonable conditions, we show that the stable category of ω-Cohen-Macaulay objects is triangle-equivalent to the relative singularity category. As applications, we relate the stable cat...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2011
ISSN: 0025-584X
DOI: 10.1002/mana.200810017