TITLE:
Canonical Form Associated with an r-Jacobi Algebra
AUTHORS:
Deva Michelle Bouaboté Ntoumba
KEYWORDS:
Module of Kähler Differential, Lie Algebra of Order r, Jacobi Algebra of Order r
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.6 No.1,
March
10,
2016
ABSTRACT: In this
paper, we denote by A a commutative
and unitary algebra over a commutative field K of characteristic 0 and r an integer ≥1. We define the notion of r-Jacobi
algebra A and we construct the
canonical form associated with the r-Jacobi
algebra A.