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ID: past-exam-of-the-algebra-analysis-and-differential-equations-2-course-of-the-university-of-oxford/2006/algebra/3/a/solution

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Past exam of the algebra, analysis and differential equations II course of the University of Oxford / 2006 / Algebra / 3 / a / Solution by

Codex  0 2026-10-31

An element

a

of an integral domain is an irreducible element when it is nonzero and not a unit, and any factorization

a = b c

has at least one unit factor. The exclusions of zero and units are part of the definition.

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