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Vijay posted an Question
October 05, 2022 • 12:45 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Ifn is an integer greater than 1, show that (n) = nz is a prime ideal of z if and only ifn is prime. (this exercise is referred to in this chapter.) af a and p

Ifn is an integer greater than 1, show that (n) = nZ is a prime ideal of Z if and only ifn is prime. (This exercise is referred to in this chapter.) af A and P A

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  • Dr. avtar chand Best Answer

    we know that I is prime ideal iff R/I is integarl domain z/nz is integarl domain iff n is prime so nZ is prime ideal iff n is prime ex 6z is not prime ideal in Z bcz 12€6z and 12=3x4 but neither 3 nor 4 in 6z

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