Add to ORKGWe 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 gener-ated A-modules M such that the canonical map from ExtiA(M/mM,Syzi(M/mM)) to Hi m (M,Syzi(M/mM)) is nonzero. Moreover, we show that even when M has in-finite projective dimension and i> dim(A), studying these maps sheds light on th
AbstractWe show that for a codimension 2 unmixed ideal B whose canonical module has finite projectiv...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
AbstractWe study a generalization of the Canonical Element Conjecture. In particular we show that gi...
Let (A;m) be a local ring of dimension n. The Canonical Element Conjecture asserts that the followin...
42 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.Generalized local cohomology i...
AbstractLet (R,m) be a Noetherian local ring which is a homomorphic image of a local Gorenstein ring...
Let (R,m) be a commutative Noetherian local ring, a an ideal of R, and M a finitely generated R-modu...
We present various approaches to J. Herzog's theory of generalized local cohomology and explore its ...
Let $\mathcal S$ be a Serre subcategory of the category of $R$-modules, where $R$ is a commutative...
Let (R, m) be a commutative Noetherian local ring, a be a proper ideal of R and M and N be two finit...
AbstractLet R be a commutative Noetherian ring and M a finitely generated R-module. We show in this ...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
AbstractLet a denote an ideal of a local ring (R,m). Let M be a finitely generated R-module. There i...
Let R be a Noetherian ring, I an ideal of R, and M a finitely generated R-module. The i-th local coh...
AbstractWe show that for a codimension 2 unmixed ideal B whose canonical module has finite projectiv...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
AbstractWe study a generalization of the Canonical Element Conjecture. In particular we show that gi...
Let (A;m) be a local ring of dimension n. The Canonical Element Conjecture asserts that the followin...
42 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.Generalized local cohomology i...
AbstractLet (R,m) be a Noetherian local ring which is a homomorphic image of a local Gorenstein ring...
Let (R,m) be a commutative Noetherian local ring, a an ideal of R, and M a finitely generated R-modu...
We present various approaches to J. Herzog's theory of generalized local cohomology and explore its ...
Let $\mathcal S$ be a Serre subcategory of the category of $R$-modules, where $R$ is a commutative...
Let (R, m) be a commutative Noetherian local ring, a be a proper ideal of R and M and N be two finit...
AbstractLet R be a commutative Noetherian ring and M a finitely generated R-module. We show in this ...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
AbstractLet a denote an ideal of a local ring (R,m). Let M be a finitely generated R-module. There i...
Let R be a Noetherian ring, I an ideal of R, and M a finitely generated R-module. The i-th local coh...
AbstractWe show that for a codimension 2 unmixed ideal B whose canonical module has finite projectiv...
AbstractWe establish the Local-global Principle for the annihilation of local cohomology modules ove...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...