19 citations · 21 across the 3 of their papers we have counts for
Showing math.ACShow all
3 papers · 1 filter
math.AC2003★ 2 cited
Homology over local homomorphisms
Luchezar L. Avramov, Srikanth Iyengar, Claudia Miller
The notions of Betti numbers and of Bass numbers of a finite module N over a local ring R are extended to modules that are only assumed to be finite over S, for some local homomorp…
math.AC2003★ 19 cited
The Frobenius endomorphism and homological dimensions
Claudia Miller
This is a survey on the relation between homological properties of the Frobenius endomorphism and finiteness of various homological dimensions of the ring or of modules over it, su…
math.AC2002
Intersection multiplicities over Gorenstein rings
Claudia M. Miller, Anurag K. Singh
We construct a complex of free-modules over a Gorenstein ring R of dimension five, for which the Euler characteristic and Dutta multiplicity are different. This complex is the reso…