TY  - JOUR
T1  - Higher Dimensional Leibniz-Rinehart Algebras
AU  - Çetin, Selim
AU  - Koçak, Mahmut
PY  - 2024
DA  - May
Y2  - 2024
DO  - 10.33187/jmsm.1466687
JF  - Journal of Mathematical Sciences and Modelling
PB  - Mahmut AKYİĞİT
WT  - DergiPark
SN  - 2636-8692
SP  - 45
EP  - 50
VL  - 7
IS  - 1
LA  - en
AB  - 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.
KW  - Crossed module
KW  - Leibniz algebra
KW  - Leibniz algebroid
KW  - Leibniz-Rinehart algebra
KW  - Lie-Rineart algebra
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UR  - https://doi.org/10.33187/jmsm.1466687
L1  - https://dergipark.org.tr/en/download/article-file/3855008
ER  -