Please give me answers in 5min I will give you like sure J. Properties of Divisors of ZeroProve 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.4 Suppose ab #0 in a commutative ring. If either a or is a divisor of zero, so is ab.5 Suppose a is neither 0 nor a divisor of zero. If ab = ac, then b = c.6 Ax B always has divisors of zero.

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Answered: J. Properties of Divisors of Zero Prove…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.4: Maximal Ideals (optional)

Problem 13E

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