1. The problem statement, all variables and given/known data From An Introduction to Abstract Algebra by T. Hungerford Section 3.2 #29 Let R be a ring with identity and no zero divisors. If ab is a unit in R prove that a and b are units. 2. Relevant equations c is a unit in R if and only if there exists an element x in R s.t. cx=xc=1 where 1 is the identity element of R. c is a zero divisor in R if and only if 1)c is not equal to 0 and 2)there exists and element d in R s.t. either cd=0 or dc=0. 3. The attempt at a solution Any help please? Thank you.