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Rings with no Maximal Ideals Patrick J. Morandi In this note we give examples of a ring that has no maximal ideals. Recall that, by a Zorn’s lemma argument, a ring with identity has a maximal ideal. Therefore, we need
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Document Date: 2005-05-06 18:47:21
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Commutative algebra
Localization
Algebraic structures
Field theory
Valuation
Jacobson radical
Ideal
Local ring
Discrete valuation ring
Abstract algebra