If I want to show that an abelian group $M$ is a right $R$-module, I need to produce a ring homomorphism $\psi: R \to End_{Ab}(M)$.
However, do I need $\psi(rs)=\psi(r) \circ \psi(s)$ or do I need $\psi(rs)=\psi(s) \circ \psi(r)$?
If I want to show that an abelian group $M$ is a right $R$-module, I need to produce a ring homomorphism $\psi: R \to End_{Ab}(M)$.
However, do I need $\psi(rs)=\psi(r) \circ \psi(s)$ or do I need $\psi(rs)=\psi(s) \circ \psi(r)$?
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