Additive Polynomials over Perfect Fields
نویسنده
چکیده
where aij ∈ K. Additive polynomials over valued fields in positive characteristic play an important role in understanding many algebraic and model theoretic properties of maximal fields of positive characteristic, see [7] for a thorough examination of the issue. A subset S of a valued field (K, v) has the optimal approximation property if for all a ∈ K, the set {v(s − a) : s ∈ S} has a maximal element. By the image of a polynomial f(x1, . . . , xn) over K we mean the set {f(a1, . . . , an) : a1, . . . , an ∈ K}.
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