Asked by John
(1) Prove that the cancellation law of multiplication is equivalent in a commutative ring to the assertion that the product of non-zero factors is not zero.
(2) For any given Integral Domain, state the law of Trichotomy, and show that in an integral Domain D, the square of non-zero elements are positive.
Thanks,
Happy New Year.
(2) For any given Integral Domain, state the law of Trichotomy, and show that in an integral Domain D, the square of non-zero elements are positive.
Thanks,
Happy New Year.
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