Let A be a commutative noetherian ring, and 𝔞 an ideal in it. In this paper we continue the study, begun in , of the derived 𝔞-adic completion and the derived 𝔞-torsion functors. Here are our results: (1) a structural characterization of bounded above cohomologically complete complexes; (2) the Cohomologically Complete Nakayama Theorem; and (3) a characterization of cohomologically cofinite complexes.
|Number of pages||19|
|Journal||Communications in Algebra|
|State||Published - 1 Feb 2015|
- Adic completion
- Derived functors
ASJC Scopus subject areas
- Algebra and Number Theory