Derivative of an Ideal in a Number Ring
نویسندگان
چکیده
The derivative of an ideal in a number ring is defined and the relation between the ideal derivative and the arithmetic derivative of a number in Z is discussed. Some simple ideal di↵erential equations are also studied. Further, the definition of the ideal derivative is extended to the derivative of a fractional ideal in a number ring. Again, the relation between the fractional ideal derivative and the arithmetic derivative of a rational number is discussed.
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