Contracting endomorphisms and dualizing complexes
  We investigate how one can detect the dualizing property for a chain complex over a commutative local noetherian ring R. Our focus is on homological properties of contracting endomorphisms of R, e.g., the Frobenius endomorphism when R contains a field of positive characteristic. 
Saeed Nasseh and Sean Sather-Wagstaff
math.AC