Adically Finite Chain Complexes
Commutative Algebra
2016-02-25 v2
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.
Cite
@article{arxiv.1602.03224,
title = {Adically Finite Chain Complexes},
author = {Sean Sather-Wagstaff and Richard Wicklein},
journal= {arXiv preprint arXiv:1602.03224},
year = {2016}
}
Comments
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