3 papers
math-ph2026
Affine Supertrusses and Superbraces
Andrew James Bruce
BrzeziÅski's trusses are ``ring-like'' algebraic structures in which the addition is replaced with an abelian heap operation and the binary product satisfies a natural distributiv…
math-ph2026
Lie Superheaps and their Groupification
Andrew James Bruce
We introduce the notion of a Lie superheaps as a generalisation of Lie supergroups. We show that the well-known `groupification' and `heapification' functors generalise to the ambi…
math.DG2025
Para-associative Algebroids
Andrew James Bruce
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 c…