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Possible Duplicate:
Rings and ideals

The question is the title, any help would be greatly appreciated!

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    PS: The statement is false as given: the ring of $2\times 2$ matrices over a field are simple (so the only ideals are $(0)$ and the entire ring) but they are not even a division ring. You should (i) put the question in the body, not just the title; and (ii) put **all the hypothesis** in the question. This problem almost certainly included the words "commutative" and "with unity" somewhere along the line.2012-01-21
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    I would think the definition of a ring does not [almost certainly not require unity]. $\;$2012-01-21

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