6 Let R be a commutative ring with unity.(a) Prove that a unit of R is not a zero

Chapter 14, Problem 14.16

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6 Let R be a commutative ring with unity.(a) Prove that a unit of R is not a zero divisor in R.(b) Determine whether the converse of (a) is true.(c) Prove that if R is a finite ring and a is not a zero divisor of R, then a has a multiplicativeinverse in R.

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