By Rickard's work, two rings are derived equivalent if there is a tilting complex, constructed
from projective modules over the first ring such that the second ring is the endomorphism …

Green showed in [4] that a module A4 for a group algebra kG can be lifted to an 0G-lattice,
where 0 is a complete discrete valuation ring with residue field k, if Ext:,(M, M) vanishes …

In [7] we proved that two algebras A and F are'derived equivalent', meaning that the derived
category of modules for A is equivalent to that for F, precisely when F is isomorphic to the …

Extensions of rings and tilting complexes Page 1 JOURNAL OF PURE AND APPLIED ALGEBRA
ELSE&R Journal of Pure and Applied Algebra 105 (1995) 183-194 Extensions of rings and …

The aim of this note is to develop a construction of tilting complexes given by Okuyama [4]
and a construction of two-sided tilting complexes given by Rouquier and Zimmermann [7] …

First, we study recollement of a derived category of unbounded complexes of modules
induced by a partial tilting complex. Second, we give equivalent conditions for P· to be a …

We introduce the notion of big tilting complexes over associative rings, which is a
simultaneous generalization of good tilting modules and tilting complexes over rings. Given …

In a compactly generated triangulated category, we introduce a class of tilting objects
satisfying a certain purity condition. We call these the decent tilting objects and show that the …

Tilting complexes, pe categories and reck derived module categories o rings Page 1
Journal of Pure and Applied ,?Igebra 73 ( 1991) l’ I I-232 North-Holland 211 Tilting …

Work of J. Rickard proves that the derived module categories of two ringsAandBare
equivalent as triangulated categories if and only if there is a particular objectT, a so-called …