Higher Dimensional Leibniz-Rinehart Algebras


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koçak m., Çetin S.

Journal of mathematical sciences and modelling (Online), cilt.7, sa.1, ss.45-50, 2024 (Hakemli Dergi) identifier

Özet

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.