The local-global principle for generalized local homology modules

Author
Marziyeh Hatamkhani
Arak University
Abstract
Let R be a commutative noetherian ring and I be an ideal of R. The aim of this paper is to establish the local-global principle for the generalized local homology modules a_I(M,N), where a_I(M,N) is the smallest integer such that the generalized local homology module of M,N is not artinian. For a finitely generated R- module M and a linearly compact R-module N with the set CoassR(HI_aI (M;N)(M;N)) finite, we show that aI (M;N) = inffaIRp (Mp;p N)jp 2 Spec(R)g:
Keywords
artinianness dimension
generalized local homology modules
linearly compact modules
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