Add to ORKGLet (R,G) be a local Noetherian ring. We show that if R is complete, then an R-module M satisfies local duality if and only if the Bass numbers l i (G,M) are finite for all i. The class of modules with finite Bass numbers includes all finitely generated, all Artinian, and all Matlis reflexive R-modules. If the ring R is not complete, we show by example that modules with finite Bass numbers need not satisfy local duality. We prove that Matlis reflexive modules satisfy local duality in general, where R is any local ring with a dualizing complex. 1
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
summary:Let $(R,\mathfrak m)$ be a commutative Noetherian regular local ring of dimension $d$ and $I...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
The local cohomology modules HJ I(M) of a Matlis reflexive module are shown to be I-cofinite when j ...
summary:Let $(R,\mathfrak m )$ be a complete local ring, $\mathfrak a $ an ideal of $R$ and $N$ and ...
summary:Let $(R,\mathfrak m )$ be a complete local ring, $\mathfrak a $ an ideal of $R$ and $N$ and ...
summary:Let $(R,\mathfrak m )$ be a complete local ring, $\mathfrak a $ an ideal of $R$ and $N$ and ...
We show that if M and N are Matlis reflexive modules over a complete Gorenstein local domain R and I...
We study relations between properties of different types of resolutions of modules over a commutativ...
We study relations between properties of different types of resolutions of modules over a commutativ...
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...
AbstractIf R is a commutative Noetherian regular ring containing a field and I is an ideal of R, it ...
AbstractLet (R,m) be a Noetherian local ring and M a finitely generated R-module. Let i⩾0 be an inte...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
summary:Let $(R,\mathfrak m)$ be a commutative Noetherian regular local ring of dimension $d$ and $I...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
The local cohomology modules HJ I(M) of a Matlis reflexive module are shown to be I-cofinite when j ...
summary:Let $(R,\mathfrak m )$ be a complete local ring, $\mathfrak a $ an ideal of $R$ and $N$ and ...
summary:Let $(R,\mathfrak m )$ be a complete local ring, $\mathfrak a $ an ideal of $R$ and $N$ and ...
summary:Let $(R,\mathfrak m )$ be a complete local ring, $\mathfrak a $ an ideal of $R$ and $N$ and ...
We show that if M and N are Matlis reflexive modules over a complete Gorenstein local domain R and I...
We study relations between properties of different types of resolutions of modules over a commutativ...
We study relations between properties of different types of resolutions of modules over a commutativ...
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...
AbstractIf R is a commutative Noetherian regular ring containing a field and I is an ideal of R, it ...
AbstractLet (R,m) be a Noetherian local ring and M a finitely generated R-module. Let i⩾0 be an inte...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
summary:Let $(R,\mathfrak {m})$ be a commutative Noetherian local ring. We establish some bounds for...
summary:Let $(R,\mathfrak m)$ be a commutative Noetherian regular local ring of dimension $d$ and $I...