Define an integral domain. Give an example of an integral domain which is not a field.
An integral domain is a commutative ring with unity (1 ≠ 0) that has no zero divisors. This means that for any two elements *a* ___ ___ ____ __________ ______ _____ ____ ____.
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__________ ___ __________ ________ _________.
_____ ______ _______ ____ ______ ______ ______ _______.
________ _____ _____ _____ _______ _________ __________ ____ ______ __________ _______.
_____ __________ ________ ______ __________ ___ ____ __________ ___ ____ _________ _____.
_______ ____ ______ ___ ______ ______ _________ ___ ___ ________ __________ __________.
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_________ _____ _________ ______ ____ _______ _________ ______ ___ ____ ______ ________.
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____ _____.
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(ii)