There is a sort of arithmetic of ideals in a ring. The exercises define sum, product, and

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There is a sort of arithmetic of ideals in a ring. The exercises define sum, product, and quotient of ideals.

Let A and B be ideals of a commutative ring R. The quotient A : B of A by B is defined by A : B = {r ∈ R| rb ∈ A for all b ∈ B}. Show that A : B is an ideal of R.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 05:26 AM

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There is a sort of arithmetic of ideals in a ring. The exercises define sum, product, and

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A First Course In Abstract Algebra

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