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Is there a ring that has exactly one proper ideal?
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- 18. Let be a commutative ring with unity, and let be the principal ideal in . Prove that is isomorphic to .17. Suppose is a ring with positive characteristic. Prove that if is any ideal of then is a multiple of the characteristic of.If R is a finite commutative ring with unity, prove that every prime ideal of R is a maximal ideal of R.