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- W2034364319 abstract "Let I be an ideal of a local ring (R, 𝔪) with d = dim R. For the local cohomology module it is a well-known fact that it vanishes for i > d and is an Artinian R-module for i = d. In the case that the Hartshorne–Lichtenbaum Vanishing Theorem fails, that is we explore its fine structure. In particular, we investigate its endomorphism ring and related connectedness properties. In the case R is complete we prove—as a technical tool—that for a certain ideal J ⊂ R. Thus, properties of and its Matlis dual might be described in terms of the local cohomology supported in the maximal ideal." @default.
- W2034364319 created "2016-06-24" @default.
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- W2034364319 date "2012-11-01" @default.
- W2034364319 modified "2023-10-16" @default.
- W2034364319 title "On an Endomorphism Ring of Local Cohomology" @default.
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- W2034364319 doi "https://doi.org/10.1080/00927872.2011.588982" @default.
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