Let R be a commutative ring with unity. If I is a prime ideal of R,...

Let R be a commutative ring with unity. If I is a prime ideal of R, prove that I[x] is a prime ideal of R[x].

Expert Solution

Theorem 14.3:

Statement:An ideal I of a commutative ring R is prime, iff the quotient ring R/I is an integral domain.

Colby Messinger answered 1 year ago

Let R and S be commutative rings with unity. (a) Let I be an ideal of...

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Let R be a commutative ring with unity. If I is a prime ideal of R,...

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