$M$ an $R$-module, $N$ an $R-S-$bimodule. Show $M \bigotimes\limits_R N$ is an $R-S-$bimodule via $s\sum\limits_\text{finite} m_i \otimes n_i = \sum\limits_\text{finite} m_i \otimes (sn_i)$.
How would I show this using the summations above?
2026-03-28 16:14:12.1774714452
Show $M \bigotimes\limits_R N$ is an $R-S-$bimodule via $s\sum\limits_\text{finite} m_i \otimes n_i = \sum\limits_\text{finite} m_i \otimes (sn_i)$.
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