From triangulated categories to abelian categories--cluster tilting in a general framework
arXiv:math/0605100
Abstract
We put cluster tilting in ageneral framework by showing that any quotient of a triangulated category modulo a tilting subcategory (that is, a maximal one-orthogonal subcategory) carries an abelian structure. These abelian quotients turn out to be module categories of Goreisten algebras of dimension at most one.
final version, to appear in Math. Z. minor changes