Sum of Submodules is Submodule

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Theorem

Let $R$ be a ring.

Let $M = \struct {G, +, \circ}_R$ be an $R$-module.

Let $H$ and $K$ be submodules of $M$.


Then $H + K$ is also a submodule of $M$.


This article, or a section of it, needs explaining.
In particular: Link to what $H + K$ means -- seems like it may not exist yet, which is a bit weird
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Proof


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Sources

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