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http://dx.doi.org/10.4134/BKMS.2011.48.6.1125

ON THE LOCAL COHOMOLOGY OF MINIMAX MODULES  

Mafi, Amir (University of Kurdistan, School of Mathematics Institute for Research in Fundamental Science (IPM))
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.6, 2011 , pp. 1125-1128 More about this Journal
Abstract
Let R be a commutative Noetherian ring, a an ideal of R, and M a minimax R-module. We prove that the local cohomology modules $H^j_a(M)$ are a-cominimax; that is, $Ext^i_R$(R/a, $H^j_a(M)$) is minimax for all i and j in the following cases: (a) dim R/a = 1; (b) cd(a) = 1, where cd is the cohomological dimension of a in R; (c) dim $R{\leq}2$. In these cases we also prove that the Bass numbers and the Betti numbers of $H^j_a(M)$ are finite.
Keywords
local cohomology modules; minimax modules;
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