AbstractLet R be a commutative Noetherian ring and let M be a non-zero finitely generated R-module. Let I be an ideal of R and t a non-negative integer such that dimSuppHIi(M)⩽1 for all i<t. It is shown that the R-modules HI0(M),HI1(M),…,HIt−1(M) are I-cofinite and the R-module HomR(R/I,HIt(M)) is finitely generated. This immediately implies that if I has dimension one (i.e., dimR/I=1), then HIi(M) is I-cofinite for all i⩾0. This is a generalization of the main results of Delfino and Marley [D. Delfino, T. Marley, Cofinite modules and local cohomology, J. Pure Appl. Algebra 121 (1997) 45–52] and Yoshida [K.I. Yoshida, Cofiniteness of local cohomology modules for ideals of dimension one, Nagoya Math. J. 147 (1997) 179–191] for an arbitrary N...
AbstractLet (R,m) be a commutative Noetherian complete local ring, M a non-zero finitely generated R...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
Let, R be an total local ring, I an Ideal of R, and let M be a finitely generated R-module. Then H(M...
AbstractLet R be a commutative Noetherian ring and let M be a non-zero finitely generated R-module. ...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
summary:Let $R$ be a commutative Noetherian ring with identity and $I$ an ideal of $R$. It is shown ...
summary:Let $R$ be a commutative Noetherian ring with identity and $I$ an ideal of $R$. It is shown ...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
summary:Let $R$ be a commutative Noetherian ring, $\mathfrak {a}$ an ideal of $R$, $M$ an $R$-module...
summary:Let $R$ be a commutative Noetherian ring, $\mathfrak {a}$ an ideal of $R$, $M$ an $R$-module...
AbstractWe prove that the category of modules cofinite with respect to an ideal of dimension one in ...
For a finite module M over a local, equicharacteristic ring (R;m), we show that the well-known formu...
For a finite module M over a local, equicharacteristic ring (R;m), we show that the well-known formu...
Copyright c © 2013 Sh. Payrovi and I. Khalili Gorji. This is an open access article distributed unde...
Let $R$ be a noetherian ring, $\mathfrak a$ an ideal of $R$ such that $\dim R/{\mathfrak a}=1$ and $...
AbstractLet (R,m) be a commutative Noetherian complete local ring, M a non-zero finitely generated R...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
Let, R be an total local ring, I an Ideal of R, and let M be a finitely generated R-module. Then H(M...
AbstractLet R be a commutative Noetherian ring and let M be a non-zero finitely generated R-module. ...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
summary:Let $R$ be a commutative Noetherian ring with identity and $I$ an ideal of $R$. It is shown ...
summary:Let $R$ be a commutative Noetherian ring with identity and $I$ an ideal of $R$. It is shown ...
AbstractWe show that if M is a finitely generated module over a commutative Noetherian local ring R ...
summary:Let $R$ be a commutative Noetherian ring, $\mathfrak {a}$ an ideal of $R$, $M$ an $R$-module...
summary:Let $R$ be a commutative Noetherian ring, $\mathfrak {a}$ an ideal of $R$, $M$ an $R$-module...
AbstractWe prove that the category of modules cofinite with respect to an ideal of dimension one in ...
For a finite module M over a local, equicharacteristic ring (R;m), we show that the well-known formu...
For a finite module M over a local, equicharacteristic ring (R;m), we show that the well-known formu...
Copyright c © 2013 Sh. Payrovi and I. Khalili Gorji. This is an open access article distributed unde...
Let $R$ be a noetherian ring, $\mathfrak a$ an ideal of $R$ such that $\dim R/{\mathfrak a}=1$ and $...
AbstractLet (R,m) be a commutative Noetherian complete local ring, M a non-zero finitely generated R...
AbstractWe consider a finitely generated graded module M over a standard graded commutative Noetheri...
Let, R be an total local ring, I an Ideal of R, and let M be a finitely generated R-module. Then H(M...