1. Let R be a commutative ring with 1 + 0. (a) Give the definition of a maximal ideal. (b) Give an example of a ring R a
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1. Let R be a commutative ring with 1 + 0. (a) Give the definition of a maximal ideal. (b) Give an example of a ring R a
1. Let R be a commutative ring with 1 + 0. (a) Give the definition of a maximal ideal. (b) Give an example of a ring R and a maximal ideal in R. (c) Give the definition of a prime ideal. (d) Give an example of a ring R and a prime ideal in R that is not a maximal ideal.
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