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| Paper IPM / M / 7708 |
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| Abstract: | |
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Let R be a local ring and M be a finitely generated
generalized Cohen-Macaulay R-module such that
dimRM=dimRM/\frakaM+heightM\fraka for all ideals \fraka of R.
Suppose that HjI(M) ≠ 0 for an ideal I of R and an
integer j > heightMI. We show that there exists an
ideal J ⊇ I such that
(a)heightMJ=j; (b)the natural homomorphismHiJ(M)→ HiI(M) is an isomoprphism, for all i > j; and (c)the natural homomorphism HjJ(M)→ HjI(M) is surjective. Download TeX format |
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