Higher Dimensional Leibniz-Rinehart Algebras
Journal of mathematical sciences and modelling (Online), vol.7, no.1, pp.45-50, 2024 (TRDizin)
- Publication Type: Article / Article
- Volume: 7 Issue: 1
- Publication Date: 2024
- Doi Number: 10.33187/jmsm.1466687
- Journal Name: Journal of mathematical sciences and modelling (Online)
- Journal Indexes: TR DİZİN (ULAKBİM)
- Page Numbers: pp.45-50
- Open Archive Collection: AVESIS Open Access Collection
- Eskisehir Osmangazi University Affiliated: Yes
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.