Let R = ({0, 1, ..., 8}, , 0, 0) Ⓒ) be a ring where a a and are defined as follows: b = (a + b) mod 9 b = (ab) mod 9 a) Find the zero element of R. b) Find the unit element of R, if it exists. c) If the unit element of R exists, find all zero divisors of R. d) Is R a field?

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