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Unique Factorization in Algebraic Number Fields

Algebraic Number Fields → Dirichlet L-functions and Class Number Formula

This graduate-level path explores unique factorization in algebraic number fields. It begins with foundational concepts of number fields and integrality, then develops the theory of Dedekind domains and ideal factorization, and culminates in the ideal class group and class number as measures of the failure of unique factorization.

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14 steps · 14 nodes · 3 stages

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14 steps · 3 stages. Click any step to inspect it and see it on the Path Map.

Stage 1

Foundation

5 steps

Stage 2

Core Concepts

5 steps

Stage 3

Advanced Topics

4 steps

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Foundation

Core Concepts

Advanced Topics

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