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a syzygy is a relation between the generators of a module M.

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Accepted

Relative version of Hilbert syzygy theorem

The answers to the first two questions readily follow from Proposition 7.5.2 in [J. C. McConnell and J. C. Robson, "Noncommutative Noetherian rings", AMS, 1987]. Actually, they prove a much more gener …
Alexei Pirkovskii's user avatar