%0 Journal Article
%T Some Properties of First Order Differential Operators
%A Servais Cyr Gatse
%J Advances in Pure Mathematics
%P 934-943
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.911046
%X 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.
%K Commutative Algebra
%K Differential Operators
%K Module of Differentials
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=96636