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A natural map in local cohomology
Arak University.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2010 (English)In: ARKIV FOR MATEMATIK, ISSN 0004-2080, Vol. 48, no 2, 243-251 p.Article in journal (Refereed) Published
Abstract [en]

Let R be a Noetherian ring, a an ideal of R, M an R-module and n a non-negative integer. In this paper we first study the finiteness properties of the kernel and the cokernel of the natural map f: Ext(R)(n) (R/alpha, M) -andgt; Hom(R)(R/alpha, H-alpha(n) (M)), under some conditions on the previous local cohomology modules. Then we get some corollaries about the associated primes and Artinianness of local cohomology modules. Finally we will study the asymptotic behavior of the kernel and the cokernel of the natural map in the graded case.

Place, publisher, year, edition, pages
Springer Science and Business Media , 2010. Vol. 48, no 2, 243-251 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-58658DOI: 10.1007/s11512-009-0115-3ISI: 000280594800003OAI: oai:DiVA.org:liu-58658DiVA: diva2:344874
Available from: 2010-08-22 Created: 2010-08-20 Last updated: 2010-08-22

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Melkersson, Leif

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