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Throughout this set of problems D denotes an ordered integral domain. If e is the unity

Chapter 28, Problem 28.1

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QUESTION:

Throughout this set of problems D denotes an ordered integral domain. If e is the unity of D, then x 2 + e = 0 has no solution in D. Why?

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QUESTION:

Throughout this set of problems D denotes an ordered integral domain. If e is the unity of D, then x 2 + e = 0 has no solution in D. Why?

ANSWER:

Step 1 of 2

Here  so from property of ordered integral domain it follows that

                                 

 

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