Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic
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چکیده
منابع مشابه
Extensions of the Frobenius to ring of differential operators on polynomial algebra in prime characteristic
Let K be a field of characteristic p > 0. It is proved that each automorphism σ ∈ AutK(D(Pn)) of the ring D(Pn) of differential operators on a polynomial algebra Pn = K[x1, . . . , xn] is uniquely determined by the elements σ(x1), . . . , σ(xn), and the set Frob(D(Pn)) of all the extensions of the Frobenius from certain maximal commutative polynomial subalgebras of D(Pn), like Pn, is equal to A...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-2010-05099-8