ABELIAN CATEGORIES ARISING FROM A MAXIMAL n-ORTHOGONAL SUBCATEGORY
نویسنده
چکیده
As Koenig and Zhu showed, quotient of a triangulated category by a maximal 1-orthogonal subcategory becomes an abelian category. In this paper, we generalize this result to a maximal n-orthogonal subcategory for an arbitrary positive integer n.
منابع مشابه
3 M ay 2 00 6 From triangulated categories to abelian categories – cluster tilting in a general framework Steffen Koenig and
We put cluster tilting in a general framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) carries an induced abelian structure. These abelian quotients turn out to be module categories of Gorenstein algebras of dimension at most one.
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