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arXiv · 1602.03224

Adically Finite Chain Complexes

Sean Sather-Wagstaff·Richard Wicklein
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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.

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Sean Sather-Wagstaff, Richard Wicklein. 2016-02-10. Adically Finite Chain Complexes. https://arxiv.org/abs/1602.03224

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