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- Title
On graded generalized local cohomology.
- Authors
Naser Zamani
- Abstract
Let<img src="/fulltext-image.asp?format=htmlnonpaginated&src=38U51U00528873U6_html\13_2005_Article_1524_TeX2GIFIEq1.gif" border="0" alt="$$ R = {\mathop \oplus \limits_{i\underline{\underline > } 0} }R_{i} $$" /> be a homogeneous Noetherian ring with local base ring (R0,m0) and let M,N be two finitely generated graded R-modules. Let<img src="/fulltext-image.asp?format=htmlnonpaginated&src=38U51U00528873U6_html\13_2005_Article_1524_TeX2GIFIEq2.gif" border="0" alt="$$ H^{i}_{{R + }} {\left( {M,N} \right)} $$" /> denote the i-th graded generalized local cohomology of N relative to M with support in<img src="/fulltext-image.asp?format=htmlnonpaginated&src=38U51U00528873U6_html\13_2005_Article_1524_TeX2GIFIEq3.gif" border="0" alt="$$ R = {\mathop \oplus \limits_{i\underline{\underline > } 0} }R_{i} $$" /> . We study the vanishing, tameness and asymptotical stability of the homogeneous components of<img src="/fulltext-image.asp?format=htmlnonpaginated&src=38U51U00528873U6_html\13_2005_Article_1524_TeX2GIFIEq4.gif" border="0" alt="$$ H^{i}_{{R + }} {\left( {M,N} \right)} $$" />.
- Publication
Archiv der Mathematik, 2006, Vol 86, Issue 4, p321
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-005-1524-6