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    STUDIA MATHEMATICA - Issue no. 1 / 2011  
         
  Article:   ON THE EXTENSION AND TORSION FUNCTORS OF LOCAL COHOMOLOGY OF WEAKLY LASKERIAN AND MATLIS REFLEXIVE MODULES.

Authors:  .
 
       
         
  Abstract:  

ABSTRACT. Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R and M,N two R-modules. The main purpose of this paper is to study the circumstances under which, for fixed integers j Π N0 and n Î N, the R-modules ExtjR(N,Hna (M)) andTorRj(N,Hna (M)) are weakly Laskerian or Matlis reflexive. In this way, we also get to some results about the associated primes, coassociated primes and Bass numbers of Hna (M).Mathematics Subject Classification (2010): 13D45, 13D07.

Keywords: Local cohomology modules, weakly Laskerian modules, Matlis duality functor, Matlis reflexive modules, extension functor, torsion functor, associated prime ideals, coassociated prime ideals, bass numbers.

 
         
     
         
         
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