On annihilators and associated primes of local cohomology modules
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Publication:1587980
DOI10.1016/S0022-4049(99)00104-8zbMath0968.13010MaRDI QIDQ1587980
Christel Rotthaus, Rodney Y. Sharp, Markus P. Brodmann
Publication date: 12 September 2001
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items (31)
Local-Global Principle for the Artinianness of Local Cohomology Modules ⋮ Characterization of some special rings via Linkage ⋮ A Note on the Set of Associated Primes of Local Cohomology Modules ⋮ The finiteness dimension of local cohomology modules and its dual notion ⋮ Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring ⋮ Uniform annihilators of local cohomology ⋮ Cofiniteness of Local Cohomology Modules ⋮ On the length of generalized fractions. ⋮ On the support of local cohomology modules and filter regular sequences ⋮ On the cofiniteness of local cohomology modules ⋮ A Note on Local Cohomology ⋮ Faltings' local-global principle for finiteness dimension of cofinite modules ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules ⋮ On The Annihilators of Derived Functors of Local Cohomology Modules and Finiteness Dimension ⋮ Associated primes and cofiniteness of local cohomology modules ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ LOCAL-GLOBAL PRINCIPLE FOR THE FINITENESS AND ARTINIANNESS OF GENERALISED LOCAL COHOMOLOGY MODULES ⋮ Unnamed Item ⋮ A natural map in local cohomology ⋮ On Faltings' annihilator theorem ⋮ Finiteness properties of generalized local cohomology modules for minimax modules ⋮ Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules ⋮ Local Cohomology at Monomial Ideals inR-Sequences ⋮ Some finiteness results for local cohomology modules with respect to a pair of ideals ⋮ Supporting degrees of multi-graded local cohomology modules ⋮ On the Annihilators of Local Cohomology Modules ⋮ Uniform Annihilation of Local Cohomology Modules Over a Gorenstein Ring ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ The derived category analogues of Faltings Local-global Principle and Annihilator Theorems ⋮ Faltings' Local-Global Principle for the Minimaxness of Local Cohomology Modules ⋮ A finiteness result for associated primes of local cohomology modules
Cites Work
- Der Endlichkeitssatz in der lokalen Kohomologie
- Acceptable rings and homomorphic images of Gorenstein rings
- Über die Annulatoren lokaler Kohomologiegruppen
- Finiteness of \(\bigcup_ e \text{Ass}F^ e(M)\) and its connections to tight closure
- Homological dimensions and Macaulay rings
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- The Euler characteristic of a finitely generated module of finite injective dimension
- On the ubiquity of Gorenstein rings
- Asymptotic Stability of Ass(M/I n M)
- A characterization of generalized Hughes complexes
- Characterizations of Catenary Rings
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