GORENSTEIN DIMENSIONS OF UNBOUNDED COMPLEXES UNDER BASE CHANGE

Title & Authors
GORENSTEIN DIMENSIONS OF UNBOUNDED COMPLEXES UNDER BASE CHANGE
Wu, Dejun;

Abstract
Transfer of homological properties under base change is a classical field of study. Let $\small{R{\rightarrow}S}$ be a ring homomorphism. The relations of Gorenstein projective (or Gorenstein injective) dimensions of unbounded complexes between $\small{U{\otimes}^L_RX}$(or $\small{RHom_R(X,U)}$) and X are considered, where X is an R-complex and U is an S-complex. In addition, some sufficient conditions are given under which the equalities \$G-dim_S(U{\otimes}^L_RX)
Keywords
complete projective resolution;Gorenstein projective dimension;local ring homomorphism;depth of complex;
Language
English
Cited by
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