 Solution

ID: past-exam-of-the-algebra-analysis-and-differential-equations-1-course-of-the-university-of-oxford/2004/algebra/3/iii/solution

$Z /3 Z$ is a field, and consequently also a ring. Its nonzero elements are

\overline{1}

and

\overline{2}

, with inverses

\overline{1}

and

\overline{2}

respectively. The quotient ring axioms are inherited as in the preceding part.

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