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Jun 10, 2020 at 18:18 comment added YCor PS this answer is quoted in (1.5) in arxiv.org/abs/1807.07851; F. Rohrer, Torsion functors, small or large, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry volume 60, p. 233–256 (2019)
Sep 15, 2017 at 13:16 history edited YCor CC BY-SA 3.0
fixed typo
Sep 15, 2017 at 12:31 comment added Fred Rohrer Dear Yves, thank you for this answer. Although I do not (yet) understand every detail, it was enough to let me construct an example as desired (in a bit less abstract language, maybe). I will add my example (which might be the same as yours) soon. (I guess in (b) you mean "$S$ is not nilpotent.")
Sep 15, 2017 at 12:28 vote accept Fred Rohrer
Sep 15, 2017 at 11:33 history answered YCor CC BY-SA 3.0