J. Properties of Divisors of Zero Prove that each of the following is true in a nontrivial ring. 1 If a 1 and a² = 1, then a + 1 and a 1 are divisors of zero. #2 If ab is a divisor of zero, then a or b is a divisor of zero. 3 In a commutative ring with unity, a divisor of zero cannot be invertible.

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