Short exact sequences
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Let R be a subring of a ring S and let
0 -> M -> N -> P -> 0
be a short exact sequence of S-modules.
Prove or disprove the following statements:
(i) If the sequence is split over S, then it is split over R.
(ii) If the sequence is split over R, then it is split over S.
See the attached file.
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Solution Summary
This provides an example of working with a short exact sequence split of rings.
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