Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors
نویسندگان
چکیده
منابع مشابه
TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES
Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then there exists an ideal a of R such that AttR Hna (M)=T. As an application, we give some relationships between top local cohomology modules and top f...
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where the map R/(x1 , . . . , x m n ) −→ R/(x m+1 1 , . . . , x m+1 n ) is multiplication by the image of the element x1 · · ·xn. As these descriptions suggest, H a(R) is usually not finitely generated as an R-module. However local cohomology modules have useful finiteness properties in certain cases, e.g., for a local ring (R,m), the modules H m(R) satisfy the descending chain condition. This ...
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In this paper, considering the difference between the finiteness dimension and cohomological dimension for a finitely generated module, we investigate the asymptotic behavior of grades of components of graded local cohomology modules with respect to irrelevant ideal; as long as we study some artinian and tameness property of such modules.
متن کاملLow-codimensional associated primes of graded components of local cohomology modules
Let R = ⊕n≥0Rn be a homogeneous noetherian ring and let M be a finitely generated graded R-module. Let H R+(M) denote the i-th local cohomology module of M with respect to the irrelevant ideal R+ := ⊕n>0Rn of R. We show that if R0 is a domain, there is some s ∈ R0\{0} such that the (R0)s-modules H R+(M)s are torsion-free (or vanishing) for all i. On use of this, we can deduce the following resu...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2007
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870601169234