Higher Dimensional Leibniz-Rinehart Algebras

Autor: Mahmut Koçak, Selim Çetin
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Mathematical Sciences and Modelling, Vol 7, Iss 1, Pp 45-50 (2024)
Druh dokumentu: article
ISSN: 2636-8692
DOI: 10.33187/jmsm.1466687
Popis: 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.
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