The general theory of divisors, as it is developed in this first part, applies to algebraic extension fields of rings that are natural in the sense defined in the next article. The case of number theory in Part 2 is the case of the natural ring Z, and the case of algebraic curves in Part 3 is the case of the natural ring Q[x].
KeywordsGreat Common Divisor Algebraic Extension Natural Ring Greatest Common Divisor Primitive Polynomial
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