3. Let R. be a commutative ring with ideals L and M. Give an example of when LMLn M.
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- Exercises If and are two ideals of the ring , prove that is an ideal of .a. If R is a commutative ring with unity, show that the characteristic of R[ x ] is the same as the characteristic of R. b. State the characteristic of Zn[ x ]. c. State the characteristic of Z[ x ].18. Let be a commutative ring with unity, and let be the principal ideal in . Prove that is isomorphic to .