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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
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