Add to ORKGAbstract. In this paper we prove the following generalization of a result of Hartshorne: Let T be a commutative Noetherian local ring of dimension at least two, R = T [x1; : : : ; xn], and I = (x1; : : : ; xn). Let f be a homogeneous element of R such that the coecients of f form a system of parameters for T. Then the socle of Hn I (R=fR) is innite dimensional. 1
Abstract. Let (R,m) be a complete Noetherian local ring, I a proper ideal of R and M, N two finitely...
Let $R$ be a noetherian ring, $\mathfrak a$ an ideal of $R$ such that $\dim R/{\mathfrak a}=1$ and $...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
Abstract. We show that if M is a finitely generated module over a commutative Noetherian local ring ...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
Let R be a Noetherian ring, I an ideal of R, and M a finitely generated R-module. The i-th local coh...
Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely generated R-mod...
Let a be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N with ...
This paper is concerned with the relation between local cohomology modules defined by a pair of ide...
We study relations between properties of different types of resolutions of modules over a commutativ...
Let (R,m) be a commutative Noetherian local ring, a an ideal of R, and M a finitely generated R-modu...
AbstractLet R be a commutative Noetherian ring and M a finitely generated R-module. We show in this ...
Let $\mathcal S$ be a Serre subcategory of the category of $R$-modules, where $R$ is a commutative...
Abstract. Let (R,m) be a complete Noetherian local ring, I a proper ideal of R and M, N two finitely...
Let $R$ be a noetherian ring, $\mathfrak a$ an ideal of $R$ such that $\dim R/{\mathfrak a}=1$ and $...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
Abstract. We show that if M is a finitely generated module over a commutative Noetherian local ring ...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
Abstract. Motivated in part by an attempt to understand better the notion of parameter-like sequence...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
Let R be a Noetherian ring, I an ideal of R, and M a finitely generated R-module. The i-th local coh...
Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely generated R-mod...
Let a be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N with ...
This paper is concerned with the relation between local cohomology modules defined by a pair of ide...
We study relations between properties of different types of resolutions of modules over a commutativ...
Let (R,m) be a commutative Noetherian local ring, a an ideal of R, and M a finitely generated R-modu...
AbstractLet R be a commutative Noetherian ring and M a finitely generated R-module. We show in this ...
Let $\mathcal S$ be a Serre subcategory of the category of $R$-modules, where $R$ is a commutative...
Abstract. Let (R,m) be a complete Noetherian local ring, I a proper ideal of R and M, N two finitely...
Let $R$ be a noetherian ring, $\mathfrak a$ an ideal of $R$ such that $\dim R/{\mathfrak a}=1$ and $...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...