An ideal M R in a commutative ring R with identity is maximal if and only
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An ideal M ≠ R in a commutative ring R with identity is maximal if and only if for every r ϵ R - M, there exists x ϵ R such that 1R - rx ϵ M.
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The statement you provided is a characterization of maximal ideals in commutative rings with ident...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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