Algebraic Number Theory - James Milne -- Home …

AlgebraicNumber MilneVersion 18, 2017An Algebraic Number field is a finite extension ofQ; an Algebraic Number is an elementof an Algebraic Number field. Algebraic Number Theory studies the arithmetic of algebraicnumber fields the ring of integers in the Number field, the ideals and units in the ring ofintegers, the extent to which unique factorization holds, and so abelian extension of a field is a Galois extension of the field with abelian Galoisgroup. Class field Theory describes the abelian extensions of a Number field in terms of thearithmetic of the notes are concerned with Algebraic Number Theory , and the sequel with class information@misc{milneANT,author={ Milne , James S.}}

An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebraic number field. Algebraic number theory studies the arithmetic of …

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  Number, Theory, Algebraic, Algebraic number theory

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