Exercise 3, § 3
Algebra, IV, p. 89
A rational fraction f \in K(X_1, X_2, ..., X_r) is said to be homogeneous if it is equal to the quotient of two homogeneous polynomials (the denominator being \neq 0). Show that for f to be homogeneous it is necessary and sufficient that
where d is the degree of f.
Solution
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