Para-associative Algebroids
arXiv:2505.01350 · doi:10.3390/math13142237
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.
12 pages