Generalized local cohomology and the canonical element conjecture
نویسندگان
چکیده
منابع مشابه
Generalized Local Cohomology and the Canonical Element Conjecture
We study a generalization of the Canonical Element Conjecture. In particular we show that given a nonregular local ring (A, m) and an i > 0, there exist finitely generated A-modules M such that the canonical map from ExtA(M/mM,Syzi(M/mM)) to Hi m (M,Syzi(M/mM)) is nonzero. Moreover, we show that even when M has infinite projective dimension and i > dim(A), studying these maps sheds light on the...
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Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local ...
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In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
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Let $R$ be a commutative Noetherian ring with non-zero identity and $fa$ an ideal of $R$. Let $M$ be a finite $R$--module of finite projective dimension and $N$ an arbitrary finite $R$--module. We characterize the membership of the generalized local cohomology modules $lc^{i}_{fa}(M,N)$ in certain Serre subcategories of the category of modules from upper bounds. We define and study the properti...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2008
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2007.07.017