APM  Vol.9 No.11 , November 2019
Some Properties of First Order Differential Operators
Abstract: We study some properties of first order differential operators from an algebraic viewpoint. We show this last can be decomposed in sum of an element of a module and a derivation. From a geometric viewpoint, we give some properties on the algebra of smooth functions. The Dirac mass at a point is the best example of first order differential operators at this point. This allows to construct a basis of this set and its dual basis.
Cite this paper: Gatse, S. (2019) Some Properties of First Order Differential Operators. Advances in Pure Mathematics, 9, 934-943. doi: 10.4236/apm.2019.911046.

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