  We show that every two-term tilting complex over an Artin algebra has a
tilting module over a certain factor algebra as a homology group. Also, we
determine the endomorphism algebra of such a homology group, which is given as
a certain factor algebra of the endomorphism algebra of the two-term tilting
complex. Thus, every derived equivalence between Artin algebras given by a
two-term tilting complex induces a derived equivalence between the
corresponding factor algebras.
