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Title of Journal: Arch Math

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Abbravation: Archiv der Mathematik

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Springer Basel

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DOI

10.1016/j.aodf.2009.02.002

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1420-8938

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On the generalization of Faltings’ Annihilator The

Authors: Mohammad Reza Doustimehr Reza Naghipour
Publish Date: 2014/01/12
Volume: 102, Issue: 1, Pages: 15-23
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Abstract

Let R be a commutative Noetherian ring and let n be a nonnegative integer In this article by using the theory of Gorenstein dimensions it is shown that whenever R is a homomorphic image of a Noetherian Gorenstein ring then the invariants infi in mathbbN 0 rmdim Suppmathfrakbt H mathfrakaiM geq n rmfor all t in mathbbN 0 and inflambda mathfraka R mathfrakpmathfrakb R mathfrakpM mathfrakp mathfrakp in rm Spec R rmand dim R/ mathfrakp geq n are equal for every finitely generated Rmodule M and for all ideals mathfraka mathfrakb of R with mathfrakbsubseteq mathfraka This generalizes Faltings’ Annihilator Theorem see 6

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Other Papers In This Journal:
  1. On an asymptotically autonomous system with Tikhonov type regularizing term
  2. Inverse positivity for general Robin problems on Lipschitz domains
  3. Gromov hyperbolicity of negatively curved Finsler manifolds
  4. Courbes planes à nœuds et à cusps
  5. On one-sided strong Arens irregularity
  6. Null controllability with constraints on the state for the linear Korteweg-de Vries equation
  7. Norm-attaining weighted composition operators on weighted Banach spaces of analytic functions
  8. A problem of Carlitz and its generalizations
  9. Distribution of the coefficients of modular forms and the partition function
  10. The abstract Dirichlet problem for continuous vector-valued functions
  11. Stability of volume comparison for complex convex bodies
  12. Lower bounds on the number of maximal subgroups in a finite group
  13. Some properties of Gurarii's modulus of convexity
  14. On the identities defining a quadratic Jordan division algebra
  15. Abelian Carter subgroups in finite permutation groups
  16. On trace ideal weighted composition operators on weighted Fock spaces
  17. On curves with all Weierstrass points of maximal weight
  18. Bounds for the probability of generating the symmetric and alternating groups
  19. A characterization of the  -genus as a linear combination of Pontrjagin numbers
  20. Complemented ideals in $$A({\mathbb{R}}^{d})$$ of algebraic curves
  21. Power-free values of polynomials
  22. Gradient blowup rate for a viscous Hamilton–Jacobi equation with degenerate diffusion
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