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STABLE COHOMOLOGY OVER LOCAL RINGS LUCHEZAR L. AVRAMOV AND OANA VELICHE
 

Summary: 



STABLE COHOMOLOGY OVER LOCAL RINGS



LUCHEZAR L. AVRAMOV AND OANA VELICHE


Abstract.For a commutative noetherian ring R with residue field k stable
cohomology modules dExtnR(k, k) have been defined for each n 2 Z, but th*
*eir
meaning has remained elusive. It is proved that the k-rank of any dExtnR*
*(k, k)
characterizes important properties of R, such as being regular, complete*
* inter-
section, or Gorenstein. These numerical characterizations are based on r*
*esults

  

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

 

Collections: Mathematics