Article
Hasse-Schmidt derivations, divided powers and differential smoothness
Author/s | Narváez Macarro, Luis
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Department | Universidad de Sevilla. Departamento de álgebra |
Date | 2009 |
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Abstract | 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 ... 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | MTM2007-66929
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Citation | Narváez Macarro, L. (2009). Hasse-Schmidt derivations, divided powers and differential smoothness. Annales de l'Institut Fourier, 59 (7), 2979-3014. |
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