Abstract. Let (R,m) be a Noetherian local ring. Two notions of filter regular sequence and generalized local cohomology module with respect to a pair of ideals are introduced, and their properties are studied. Some vanishing and non-vanishing theorems are given for this generalized ver-sion of generalized local cohomology module. AMS Subject Classification: 13D45; 13D0
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
We introduce the notions of depth and of when a local ring (or module over a local ring) is “S2”. Th...
AbstractWe introduce a generalization of the notion of local cohomology module, which we call a loca...
Click on the link to view the abstract.Keywords: Local cohomology module, generalized local cohomolo...
AbstractLet R be a Noetherian standard graded ring, and M and N two finitely generated graded R-modu...
AbstractLet R be a commutative Noetherian ring and M a finitely generated R-module. We show in this ...
Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely generated R-mod...
Abstract. For a given ideal I of a Noetherian ring R and an arbitrary integer k 1, we apply the con...
AbstractLet a denote an ideal of a local ring (R,m). Let M be a finitely generated R-module. There i...
summary:Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonz...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
. Let R = ⊕n>0Rn be a graded Noetherian ring with local base ring R0 and let R+ = ⊕n>1Rn. Let M and...
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, a and b ideals of R and let M and N be two finitely generate...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
We introduce the notions of depth and of when a local ring (or module over a local ring) is “S2”. Th...
AbstractWe introduce a generalization of the notion of local cohomology module, which we call a loca...
Click on the link to view the abstract.Keywords: Local cohomology module, generalized local cohomolo...
AbstractLet R be a Noetherian standard graded ring, and M and N two finitely generated graded R-modu...
AbstractLet R be a commutative Noetherian ring and M a finitely generated R-module. We show in this ...
Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely generated R-mod...
Abstract. For a given ideal I of a Noetherian ring R and an arbitrary integer k 1, we apply the con...
AbstractLet a denote an ideal of a local ring (R,m). Let M be a finitely generated R-module. There i...
summary:Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonz...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
. Let R = ⊕n>0Rn be a graded Noetherian ring with local base ring R0 and let R+ = ⊕n>1Rn. Let M and...
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, a and b ideals of R and let M and N be two finitely generate...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
We introduce the notions of depth and of when a local ring (or module over a local ring) is “S2”. Th...