An element of C is an algebraic integer if it is a zero of some monic polynomial

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An element of C is an algebraic integer if it is a zero of some monic polynomial in Z[x]. Show that the set of all algebraic integers forms a subring of C.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:50 AM

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An element of C is an algebraic integer if it is a zero of some monic polynomial

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Let and be algebraic integers and let K be the splitting field of irr Q irr Q Now is a power of irr ...View the full answer

A First Course In Abstract Algebra

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