FINITENESS PROPERTIES OF FORMAL LOCAL HOMOLOGY MODULES

Abstract

Let (R, m) be a commutative Noetherian ring, a an ideal of R and M an Artinian R-module. In this paper, we investigate the structure of the formal local homology. We prove several results concerning finiteness properties of formal local homology module.

Keywords

• Local homology
• Formal local homology
• Finitely generated module