Higher Dimensional Leibniz-Rinehart Algebras

Year 2024, Volume: 7 Issue: 1, 45 - 50, 08.05.2024

Mahmut Koçak , Selim Çetin

https://doi.org/10.33187/jmsm.1466687

Cited By: 1

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

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