Formal local homology

2016/07/19 by Nam, Tran Tuan
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.05552

Abstract

We introduce a concept of formal local homology modules which is in some sense dual to P. Schenzel's concept of formal local cohomology modules. The dual theorem and the non-vanishing theorem of formal local homology modules will be shown. We also give some conditions for formal local homology modules being finitely generated or artinian.

Related

• Local Homology with Respect to a Pair of Ideals
• On the support of local and formal cohomology
• A local homology theory for linearly compact modules
• On the formal cohomology of local rings
• On Artinianness of Formal Local Cohomology