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3330_Notes_5o2_fill - Math 3330 Section 5.2 Integral...

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Math 3330 Section 5.2 Integral Domains and Fields ** Definition: Integral Domain ** Let D be a ring. Then D is called an integral domain if 1. D is commutative 2. D has a unity “e” that is not 0 3. D has no zero divisors Example: n ] when n is a PRIME
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Cancellation Law for Multiplication: *** Definition: Field *** Let D be a ring. Then D is called a field if: 1. D is commutative 2. D has a unity e that is not zero 3. if all nonzero elements of D have multiplicative inverses. Every field is an integral domain BUT – every integral domain is NOT necessarily a field.
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