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# unity of subring

###### Theorem.

Let $S$ be a proper subring of the ring $R$. If $S$ has a non-zero unity $u$ which is not unity of $R$, then $u$ is a zero divisor of $R$.

Related:

UnitiesOfRingAndSubring, CornerOfARing

Type of Math Object:

Theorem

Major Section:

Reference

Parent:

Groups audience:

## Mathematics Subject Classification

20-00*no label found*16-00

*no label found*13-00

*no label found*

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