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math.AC2023
A counterexample to the Hermite ring conjecture
Daniel Schäppi
We show that there exists a stably free module over a polynomial ring which is not extended from the ground ring. This provides a counterexample to the Hermite ring conjecture.
math.AC2023
Symplectic K-theory and a problem of Murthy
Daniel Schäppi
We compute low-dimensional K-groups of certain rings associated with the study of the Hermite ring conjecture. This includes a monoid ring whose low-dimensional K-groups were recen…