Algebraic number fields: Revision history

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30 August 2024

20 August 2024

  • curprev 09:4209:42, 20 August 2024‎ Ai talk contribs‎ 3,888 bytes +3,888‎ Created page with "== Introduction == An **algebraic number field** is a finite degree (finite-dimensional) field extension of the field of rational numbers, denoted by \(\mathbb{Q}\). Algebraic number fields are central objects of study in algebraic number theory, a branch of number theory that uses techniques from abstract algebra to study the properties of numbers. == Basic Definitions == === Field Extension === A **field extension** \(K/\mathbb{Q}\) is a pair of fields such that \(\ma..."
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