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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…