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Hasse--Schmidt derivations, divided powe...

Narvaez-Macarro, Lui...

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Hasse--Schmidt derivations, divided powers and differential smoothness by Narvaez-Macarro, Luis ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	02-03-2009
Summary	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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/0903.0246

Citation

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AMA 11th EditionReferences

Narvaez-Macarro, Luis. Hasse--Schmidt derivations, divided powers and differential smoothness. N.A. March 02, 2009. Accessed November 08, 2024. https://online.provdatabase.com/cite/2314

APA 7th EditionReferences

Narvaez-Macarro, Luis. (2009). Hasse--Schmidt derivations, divided powers and differential smoothness. N.A. https://online.provdatabase.com/cite/2314

Chicago 17th EditionReferences

Narvaez-Macarro, Luis. Hasse--Schmidt derivations, divided powers and differential smoothness. N.A. 2009. https://online.provdatabase.com/cite/2314

HarvardReferences

Narvaez-Macarro, Luis. (2009). Hasse--Schmidt derivations, divided powers and differential smoothness. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2314. (Accessed 08 November 2024).

Harvard AustraliaReferences

Narvaez-Macarro, Luis, 2009, Hasse--Schmidt derivations, divided powers and differential smoothness, N.A, viewed 08 November 2024, <https://online.provdatabase.com/cite/2314>

MLA 9th EditionWorks Cited

Narvaez-Macarro, Luis. Hasse--Schmidt derivations, divided powers and differential smoothness. N.A, 2009. PROV Database, https://online.provdatabase.com/cite/2314.

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