Given any Grothendieck category G, we study the notion of a tilting object of G, proving some basic facts of tilting theory in this general setting. Our results apply, for instance, to categories of modules over arbitrary rings, as well as to the theory of sheaves in algebraic geometry.
机构:
Newcastle Univ, Sch Math Stat & Phys, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, EnglandNewcastle Univ, Sch Math Stat & Phys, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England