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Prove that the integral domain Z[.J21 in Example 24.4 is not well ordered. (Suggestion

Chapter 29, Problem 29.2

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QUESTION:

Prove that the integral domain Z[.J21 in Example 24.4 is not well ordered. (Suggestion: UseTheorem 29.1 and 27.24.)

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QUESTION:

Prove that the integral domain Z[.J21 in Example 24.4 is not well ordered. (Suggestion: UseTheorem 29.1 and 27.24.)

ANSWER:

Step 1 of 3

Theorem-1: If  is well ordered integral domain, then  is isomorphic to the ring of integers.

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