On the Associated Primes of Matlis Duals of Top Local Cohomology Modules |
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Authors: | M Hellus |
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Institution: | 1. Fakult?t für Mathematik und Informatik , Mathematisches Institut, Universit?t Leipzig , Leipzig, Germany michael.hellus@math.uni-leipzig.de |
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Abstract: | After motivating the question, we prove various results about the set of associated primes of Matlis duals of top local cohomology modules. In some cases, we can calculate this set. An easy application of this theory is the well-known fact that Krull dimension can be expressed by the vanishing of local cohomology modules. |
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Keywords: | Associated primes Local cohomology Matlis duality Regular sequences |
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