chracateristic of an integral domain.
The characteristic of an integral domain D is the least positve integer such that n.1=0. Prove that if f: Z -------> D is defined so that f(n)=1+1+1....n times = n.1 ;f(0)=0 and f(-n) =-(n.1)then the characteristic of D is just the non negative generator of kernel f.
Any help will be appreciated.
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