Show that the characteristic of an integral domain D must be either 0 or a prime p.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 04, 2023 05:04 AM

Show that the characteristic of a subdomain of an integral domain D is equal to the characteristic of D.
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Show that the characteristic of an integral domain D must be either 0 or a prime p.

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Suppose the characteristic is mn for m 1 and n 1 The distributive laws show that m 1n ...View the full answer

A First Course In Abstract Algebra

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