Null Ring and Ring Itself Subrings

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Theorem

In any ring $R$, the null ring and $R$ itself are subrings of $R$.


Ring is Subring of Itself

Let $R$ be a ring.

Then $R$ is a subring of itself.


Null Ring is Subring of Ring

Let $R$ be a ring.

Then the null ring is a subring of $R$.