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math.AC2023
Flat dimension for power series over valuation rings
Adam Jones
We examine the power series ring over a valuation ring of rank 1, with proper, dense value group. We give a counterexample to Hilbert's syzygy theorem for , i.…
math.RA2023
Filtered skew derivations on simple artinian rings
Adam Jones, William Woods
Given a complete, positively filtered ring and a compatible skew derivation , we may construct its skew power series ring . Due to topological obstructio…