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Bibliographic Details
Main Authors:	Cai, Liqiang, Chen, Zhuo, Chen, Zhixiong, Bi, Yanhui
Format:	Preprint
Published:	2025
Subjects:	Differential Geometry Rings and Algebras
Online Access:	https://arxiv.org/abs/2512.03391
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This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and we provide explicit computations for all resulting structure maps. Analogously, metric n-systems deffned on metric vector bundles allow us to construct metric algebroids, pre-Courant algebroids, and Courant algebroids.