%0 Journal Article %T Canonical Form Associated with an <i>r</i>-Jacobi Algebra %A Deva Michelle Bouabot¨¦ Ntoumba %J Advances in Linear Algebra & Matrix Theory %P 17-21 %@ 2165-3348 %D 2016 %I Scientific Research Publishing %R 10.4236/alamt.2016.61003 %X In this paper, we denote by A a commutative and unitary algebra over a commutative field K of characteristic 0 and r an integer ¡Ý1. We define the notion of r-Jacobi algebra A and we construct the canonical form associated with the r-Jacobi algebra A. %K Module of Kä %K hler Differential %K Lie Algebra of Order r %K Jacobi Algebra of Order < %K i> %K r< %K /i> %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=64395