Ring is Module over Itself/Proof 2
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Theorem
Let $\struct {R, +, \circ}$ be a ring.
Then $\struct {R, +, \circ}_R$ is an $R$-module.
Proof
This is a special case of Module on Cartesian Product is Module:
- $\struct {R^n, +, \circ}_R$ is an $R$-module
where $n = 1$.
$\blacksquare$