Can the Arithmetic Derivative be Defined on a Non-Unique Factorization Domain?
نویسندگان
چکیده
Given n ∈ Z, its arithmetic derivative n is defined as follows: (i) 0 = 1 = (−1)′ = 0. (ii) If n = up1 · · · pk, where u = ±1 and p1, . . . , pk are primes (some of them possibly equal), then
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