Adically Finite Chain Complexes
arXiv:1602.03224
Abstract
We investigate the similarities between adic finiteness and homological finiteness for chain complexes over a commutative noetherian ring. In particular, we extend the isomorphism properties of certain natural morphisms from homologically finite complexes to adically finite complexes. We do the same for characterizations of certain homological dimensions. In addition, we study transfer of adic finiteness along ring homomorphisms, all with a view toward subsequent applications.
20 pages. part 2 of a series with arXiv:1401.6925, arXiv:1506.07052, arXiv:1602.03225, arXiv:1602.03226, and arXiv:1602.03227. comments welcome. v.2 has updated references and URL for Sather-Wagstaff