In a commutative ring R with identity the following conditions are equivalent: (i) R has a unique
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In a commutative ring R with identity the following conditions are equivalent:
(i) R has a unique prime ideal;
(ii) every nonunit is nilpotent
(iii) R has a minimal prime ideal which contains all zero divisors, and all nonunits of Rare zero divisors.
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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