Let \(R\) be a ring. The characteristic of \(R\) is the smallest integer \(n\geq 1\) such that \(\sum_{k=1}^n 1_R = 0\) if such an integer exists, and \(0\) otherwise.
Characteristic
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Let \(R\) be a ring. The characteristic of \(R\) is the smallest integer \(n\geq 1\) such that \(\sum_{k=1}^n 1_R = 0\) if such an integer exists, and \(0\) otherwise.