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

2013/01/06 by Aghapournahr, M., Ahmadi-amoli, Kh., Sadeghi, M. Y.
#13D45 #13E05 #14B15 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1301.1015

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.

Related

• Some properties of generalized local cohomology modules with respect to a pair of ideals
• Local cohomology based on a nonclosed support defined by a pair of ideals
• Regular sequences and local cohomology modules with respect to a pair of ideals
• Graded Version of Some Basic Theorems on Local Cohomology to a Pair of Ideals
• On the formal cohomology of local rings