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*If ''R'' is a [[ring with unity]], i.e., there exists a multiplicative identity '''1''', then the characteristic is already given by the smallest ''r'' such that ''r'' * '''1''' = 0. If no such ''r'' exists, the characteristic is defined as zero.
 
*If ''R'' is a [[ring with unity]], i.e., there exists a multiplicative identity '''1''', then the characteristic is already given by the smallest ''r'' such that ''r'' * '''1''' = 0. If no such ''r'' exists, the characteristic is defined as zero.
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[[Category:Mathematics]]
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[[Category:Algebra]]
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