Adjoint Functors and Equivalences

  • Florencio Castaño Iglesias, Almeŕıa José Gómez-Torrecillas, Robert Wisbauer
  • Published 2001

Abstract

For any ring R, an R-module P with S = EndR(P ) is called self-tilting provided HomR(P,−) is exact on short exact sequences of P -generated modules and all P generated modules are P -presented. We extend the theory of self-tilting modules to any additive functor R : A → B which has a left adjoint L : B → A, together with an adstatic generator B of B. (L,R;B… (More)