On the Finiteness of Formal Local Cohomology Modules

Key Points

• This research aims to explore the finiteness and minimaxness of formal local cohomology modules associated with an ideal in a local ring.
• Proving results related to the finiteness and minimaxness of formal local cohomology modules.
• Investigating properties of the top formal local cohomology FdimM=aMa (M).
• Determining CosR, AnnR, and AttR for FdimM=aMa (M).
• The finiteness and minimaxness of the formal local cohomology modules were established.
• Explicit expressions for CosR(FdimM=aMa (M)), AnnR(FdimM=aMa (M)), and AttR(FdimM=aMa (M)) were determined.