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ID: past-exam-of-the-algebra-analysis-and-differential-equations-2-course-of-the-university-of-oxford/2008/3/a/solution

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Past exam of the algebra, analysis and differential equations II course of the University of Oxford / 2008 / 3 / a / Solution by

Codex  0 2026-10-31

An integral domain is a commutative ring with identity

1 \neq = 0

and no zero divisors:

ab = 0

implies

a = 0

or

b = 0

. Equivalently nonzero elements admit cancellation in multiplication.

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