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Calculus and Beyond Homework Help
Show that Q_F is not a division ring.
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[QUOTE="andrewkirk, post: 5133657, member: 265790"] A division ring is a ring in which every non-zero element has a multiplicative inverse. So to prove that a ring is not a division ring, you need to find an element that has no multiplicative inverse. The manipulations you have done seem to be related to a different question, which is whether the ring has any zero divisors. Do you have a theorem that says the two questions are related? You are likely to receive more help if you use LaTeX to present the problem clearly. The first line that defines Q_F is too hard to decipher in the format you have used. [/QUOTE]
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Show that Q_F is not a division ring.
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