IPM
30
YEARS OLD

“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 757
School of Mathematics
Title:   A generalization of the cofiniteness problem in local cohomology modules
Author(s):
 1 J. Asadollahi 2 K. Khashyarmanesh 3 Sh. Salarian
Status:   Published
Journal: J. Aust. Math. Soc.
Vol.:  75
Year:  2003
Pages:   313-324
Supported by:  IPM
Abstract:
Let R be a commutative Noetherian ring with nonzero identity and let M be a finitely generated R-module. In this paper, we prove that if an ideal I of R is generated by a u.s.d -sequence on M then the local cohomology module HIi(M) is I-cofinite. Furthermore, for any system of ideals Φ of R, we study the cofiniteness problem in the context of general local cohomology modules.