TY - JOUR
T1 - A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms
AU - Christensen, Lars Winther
AU - Wu, Dejun
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - Let R→ S be a local ring homomorphism and N a finitely generated S-module. We prove that if the Gorenstein injective dimension of N over R is finite, then it equals the depth of R.
AB - Let R→ S be a local ring homomorphism and N a finitely generated S-module. We prove that if the Gorenstein injective dimension of N over R is finite, then it equals the depth of R.
KW - Gorenstein injective dimension
KW - Module finite over homomorphism
UR - http://www.scopus.com/inward/record.url?scp=85067308598&partnerID=8YFLogxK
U2 - 10.1007/s00013-019-01346-1
DO - 10.1007/s00013-019-01346-1
M3 - Article
AN - SCOPUS:85067308598
SN - 0003-889X
VL - 113
SP - 459
EP - 467
JO - Archiv der Mathematik
JF - Archiv der Mathematik
IS - 5
ER -