Para-Associative Algebroids

Andrew James Bruce ()
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Andrew James Bruce: Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warsaw, Poland

Mathematics, 2025, vol. 13, issue 14, 1-14

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.

Keywords: ternary algebras; vector bundles; generalised associativity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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