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(Abstract Algebra - Prime and Maximal Ideals) Consider the ring Z12 under addition and multiplication modulo 12. a) Is <6> a maximal and a prime

(Abstract Algebra - Prime and Maximal Ideals)

Consider the ring Z12 under addition and multiplication modulo 12.

a) Is <6> a maximal and a prime ideal of Z12? b) Is <3> a maximal and a prime ideal of Z12? c) Is <6> a maximal and a prime ideal of <3>?

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