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HOMOLOGY OVER LOCAL HOMOMORPHISMS LUCHEZAR L. AVRAMOV, SRIKANTH IYENGAR, AND CLAUDIA MILLER
 

Summary: 



HOMOLOGY OVER LOCAL HOMOMORPHISMS



LUCHEZAR L. AVRAMOV, SRIKANTH IYENGAR, AND CLAUDIA MILLER


Abstract.The notions of Betti numbers and of Bass numbers of a finite mo*
*d-
ule N over a local ring R are extended to modules that are only assumed *
*to be
finite over S, for some local homomorphism ':R ! S. Various techniques a*
*re
developed to study the new invariants and to establish their basic prope*
*rties.
In several cases they are computed in closed form. Applications go in se*

  

Source: Avramov, Luchezar L.- Department of Mathematics, University of Nebraska-Lincoln

 

Collections: Mathematics