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Hasse--Schmidt derivations, divided powe...
Narvaez-Macarro, Lui...
Hasse--Schmidt derivations, divided powers and differential smoothness by Narvaez-Macarro, Luis ( Author )
N.A
02-03-2009
Let k be a commutative ring, A a commutative k-algebra and D the filtered ring of k-linear differential operators of A. We prove that: (1) The graded ring $\gr D$ admits a canonical embedding θ into the graded dual of the symmetric algebra of the module ΩA/k of differentials of A over k, which has a canonical divided power structure. (2) There is a canonical morphism ϑ from the divided power algebra of the module of k-linear Hasse-Schmidt integrable derivations of A to $\gr D$. (3) Morphisms θ and ϑ fit into a canonical commutative diagram.
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MYR 0.00
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https://arxiv.org/abs/0903.0246
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