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Paper IPM / M / 7708  


Abstract:  
Let R be a local ring and M be a finitely generated
generalized CohenMacaulay Rmodule such that
dim_{R}M=dim_{R}M/\frakaM+height_{M}\fraka for all ideals \fraka of R.
Suppose that H^{j}_{I}(M) ≠ 0 for an ideal I of R and an
integer j > height_{M}I. We show that there exists an
ideal J ⊇ I such that
(a)height_{M}J=j; (b)the natural homomorphismH^{i}_{J}(M)→ H^{i}_{I}(M) is an isomoprphism, for all i > j; and (c)the natural homomorphism H^{j}_{J}(M)→ H^{j}_{I}(M) is surjective. Download TeX format 

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