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3. Prime and maximal ideals 3.1. Definitions and Examples ...
MathType on X: "A #prime ideal (p) in the ring of integers can be viewed in an number field K. There, it can remain prime, or it can split as a product
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![Is maximal ideal of z [x]? is it prime ideal?](https://cdn.eduncle.com/library/scoop-files/2020/8/image_1597150012436.jpg "Is maximal ideal of z [x]? is it prime ideal?")
Is maximal ideal of z [x]? is it prime ideal?
MathType on X: "Prime numbers are fascinating, aren't they? What about prime ideals!? This concept from ring theory generalizes the concept of prime numbers, and is key in algebraic #geometry and #NumberTheory. #
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✓ Solved: Prove that the ideal x^2+1 is prime in Z[x] but not maximal in Z[x] .
