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Commutative algebra / Localization / Algebraic structures / Field theory / Valuation / Jacobson radical / Ideal / Local ring / Discrete valuation ring / Abstract algebra / Algebra / Ring theory
Date: 2005-05-06 18:47:21
Commutative algebra
Localization
Algebraic structures
Field theory
Valuation
Jacobson radical
Ideal
Local ring
Discrete valuation ring
Abstract algebra
Algebra
Ring theory

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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