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In this note, we show that a ring R is S-coherent if and only if every finitely presented R-module is S-coherent, providing a positive answer to a question proposed in D. Bennis, M. El Hajoui, On S-coherence, J. Korean Math. Soc. 55 (2018), no. 6, 1499-1512.
Xiaolei Zhang (Sun,) studied this question.
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