Michael Hellus
Abstract
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Abstract For a finite module M over a local, equicharacteristic ring (R, m), we show that the well-known formula cd(m,M) = dim M becomes trivial if ones uses Matlis duals of local cohomology modules together with spectral sequences. We also prove a new ring-theoretic vanishing criterion for local cohomology modules.
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Abstract For a finite module M over a local, equicharacteristic ring (R, m), we show that the well-known formula cd(m,M) = dim M becomes trivial if ones uses Matlis duals of local cohomology modules together with spectral sequences. We also prove a new ring-theoretic vanishing criterion for local cohomology modules.
Key concepts: Mathematics, Local cohomology, Dual polyhedron, Pure mathematics, Cohomology, Ring (chemistry), Spectral sequence, Local ring