Difference between revisions of "Commutative ring"

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A '''commutative ring''' is a [[ring]] in which the multiplication operation has the [[commutative property]].
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A '''commutative ring''' is a [[ring]] in which the multiplication operation has the [[commutative property]]. Examples of commutative rings include the [[integer]]s, the integers [[modulo]] <math>m</math> for any positive integer <math>m</math>, any [[field]], and the [[polynomial ring]] in any number of variables over any commutative ring.
 
 
 
 
  
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[[Category:Commutative algebra]]
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[[Category:Ring theory]]
  
 
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Latest revision as of 11:15, 20 September 2008

A commutative ring is a ring in which the multiplication operation has the commutative property. Examples of commutative rings include the integers, the integers modulo $m$ for any positive integer $m$, any field, and the polynomial ring in any number of variables over any commutative ring.

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