G-dimension over Local Homomorphisms . Applications to the Frobenius Endomorphism

@inproceedings{Iyengar1970GdimensionOL,
  title={G-dimension over Local Homomorphisms . Applications to the Frobenius Endomorphism},
  author={Srikanth B. Iyengar and Sean Sather-Wagstaff},
  year={1970}
}
We develop a theory of G-dimension over local homomorphisms which encompasses the classical theory of G-dimension for finitely generated modules over local rings. As an application, we prove that a local ring R of characteristic p is Gorenstein if and only if it possesses a nonzero finitely generated module of finite projective dimension that has finite G… CONTINUE READING