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Is it the smallest n such that n1=0? or is it the smallest n such that nr=0 for all r in R.

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- Thread starter pivoxa15
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- #1

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Is it the smallest n such that n1=0? or is it the smallest n such that nr=0 for all r in R.

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Dick

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What does the definition of 'ring characteristic' say?

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HallsofIvy

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In mathematics, the characteristic of a ring R with multiplicative identity element 1R is defined to be the smallest positive integer n such that

n1R = 0,

where n1R is defined as

1R + ... + 1R with n summands.

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matt grime

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Exercise for the reader: show that the two definitions given are equivalent (in a unital ring).

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