Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic

DOI10.1090/S0002-9947-2010-05099-8zbMath1213.13013arXiv0804.1091OpenAlexW2046950308MaRDI QIDQ3082362

Vladimir V. Bavula

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1091

zbMATH Keywords

group of automorphismsring of differential operatorsextensions of the FrobeniusFrobenius polynomial subalgebra

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Automorphisms and endomorphisms (16W20) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (1)

The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic

Cites Work

• Unnamed Item
• The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic
• Endomorphisms of Weyl algebra and \(p\)-curvatures.
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Simple derivations of differentiably simple Noetherian commutative rings in prime characteristic
• The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic
• Sur les algèbres de Weyl

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