“School of Mathematics”Back to Papers Home
Back to Papers of School of Mathematics
|Paper IPM / M / 7708||
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
(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
|back to top|