If N is the ideal of all nilpotent elements in a commutative ring R (see Exercise 1),

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If N is the ideal of all nilpotent elements in a commutative ring R (see Exercise 1), then R/ N is a ring with no nonzero nilpotent elements.

Data from exercise 1

The set of all nilpotent elements in a commutative ring forms an ideal.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:05 AM

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If N is the ideal of all nilpotent elements in a commutative ring R (see Exercise 1),

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Let N be the ideal of all nilpotent elements in a commutative ring R We want to show that RN is a ri...View the full answer

Algebra Graduate Texts In Mathematics 73

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