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arXiv · 2505.01350

Para-associative Algebroids

Andrew James Bruce
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Abstract

We introduce para-associative algebroids as vector bundles whose sections form a ternary algebra with a generalised form of associativity. We show that a necessary and sufficient condition for local triviality is the existence of a differential connection, i.e., a connection that satisfies the Leibniz rule over the ternary product.

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Andrew James Bruce. 2025-05-02. Para-associative Algebroids. https://doi.org/10.3390/math13142237

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