Higher Dimensional Leibniz-Rinehart Algebras
Journal of mathematical sciences and modelling (Online), cilt.7, sa.1, ss.45-50, 2024 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.33187/jmsm.1466687
- Dergi Adı: Journal of mathematical sciences and modelling (Online)
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.45-50
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
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.