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HOMOLOGY OF PERFECT COMPLEXES LUCHEZAR L. AVRAMOV, RAGNAR-OLAF BUCHWEITZ,
 

Summary: 



HOMOLOGY OF PERFECT COMPLEXES



LUCHEZAR L. AVRAMOV, RAGNAR-OLAF BUCHWEITZ,
SRIKANTH IYENGAR, AND CLAUDIA MILLER


Abstract.It is proved that the sum of the Loewy length of the homology
modules of a finite free complex F over a local ring R is bounded below *
*by an
invariant that measures the singularity of R. In the special case of the*
* group
algebra of an elementary abelian group one recovers results of G. Carlss*
*on
and of C. Allday and V. Puppe. The arguments use numerical invariants of

  

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

 

Collections: Mathematics