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- Title
Adically finite chain complexes.
- Authors
Sather-Wagstaff, Sean; Wicklein, Richard
- 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.
- Subjects
MATHEMATICAL complexes; HOMOLOGICAL algebra; NOETHERIAN rings; ISOMORPHISM (Mathematics); HOMOMORPHISMS
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 12, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817502322