On the vanishing of local homology modules

2012/09/15 by Hatamkhani, Marziyeh, Divaani-Aazar, Kamran
#13D07 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1209.3417

Abstract

Let R be a commutative Noetherian ring, \fa an ideal of R and M an R-module. We intend to establish the dual of Grothendieck's Vanishing Theorem for local homology modules. We conjecture that H^\fa_i(M)=0 for all i>\Mag_RM. We prove this in several cases.

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