Author(s)

Servais Cyr Gatse

Département de Mathématiques, Faculté des Sciences et Techniques, Université Marien Ngouabi, Brazzaville, Congo.

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.

Commutative Algebra, Differential Operators, Module of Differentials

Gatse, S. (2019) Some Properties of First Order Differential Operators. Advances in Pure Mathematics, 9, 934-943. doi: 10.4236/apm.2019.911046.