Alireza Vahidi

On Faltings' local-global principle of local cohomology modules

Let R be a commutative Noetherian ring with non zero identity, a an ideal of R, and n a non negative int…

Coniteness of local cohomology modules

Let n be a non negative integer, R a commutative Noetherian ring, a an ideal of R, and M a nitely genera…

Abelianness of the category of conite modules

Let R be a commutative Noetherian ring with non zero identity, n a non negative integer, and a an ideal…

A criterion for co niteness and Abelianness of the category of co nite modules

Let n be a non negative integer, R a commutative Noetherian ring with dim R n 2, a an ideal of R, and X…

FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES

Let R be a commutative Noetherian ring with non zero identity, let a be an ideal of R, and let M be a fi…

BASS NUMBERS OF MODULES WITH FINITE COUSIN COHOMOLOGIES

Let R be a commutative Noetherian ring with non zero identity and let X be an arbitrary R–module Inthis…