Some results on the local cohomology modules with respect to a pair of ideals

Abstract

Some affirmative answers are given to Huneke's problems. The calculation of local cohomology modules with respect to an arbitrary pair of ideals $I,J$ can be reduced to calculation of local cohomology modules with respect to a pair of ideala whose first ideal is generated by any $k$-regular sequence in $I$.

7 pages

References in corpus (1)

• Upper bounds, cofiniteness, and artinianness of local cohomology modules defined by a pair of ideals

Cited by in corpus (3)

• On the Attached prime ideals of local cohomology modules defined by a pair of ideals
• Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals
• Some Results about Endomorphism Rings for Local Cohomology Defined by a Pair of Ideals