Higher Dimensional Leibniz-Rinehart Algebras

Authors : Mahmut Koçak, Selim Çetin

Pages : 45-50

Doi:10.33187/jmsm.1466687

View : 50 | Download : 121

Publication Date : 2024-05-08

Article Type : Research Paper

Abstract :In this article, we delve into the realm of higher dimensional Leibniz-Rinehart algebras, exploring the intricate structures of Leibniz algebroids and their applications. By generalizing the concept of Lie algebroids and incorporating a Leibniz rule for the anchor map, the study sheds light on the fundamental principles underlying connections and underscores their significance. Through a comprehensive analysis of Leibniz-Rinehart algebras, this study paves the way for advancements and applications, offering a deeper understanding of the intricate relationship between algebraic and geometric structures.
Keywords : Crossed module, Leibniz algebra, Leibniz algebroid, Leibniz Rinehart algebra, Lie Rineart algebra