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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