A commutative ring with identity is local if and only if for all r, s R,
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A commutative ring with identity is local if and only if for all r, s ϵ R, r + s = 1R implies r or s is a unit.
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Let R be a commutative ring with identity We will prove that R is local if and only if for all r s i...View the full answer
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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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