- #1

ehrenfest

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**[SOLVED] rings with unity**

## Homework Statement

Corollary 27.18 (in Farleigh) tells us that every ring with unity contains a subring isomorphic to either Z or some Z_n. Is it possible that a ring with unity may simultaneously contain two subrings isomorphic to Z_n and Z_n with n not equal to m? If it is possible, give an example. If it is impossible, prove it.

EDIT: change the second Z_n to Z_m

## Homework Equations

## The Attempt at a Solution

My intuition tells me it is impossible. But I have no idea how to prove it.

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