Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Trigroups To Leibniz 3-Algebras   In this paper, we study the category of trigroups as a generalization of the
notion of digroup [4] and analyze their relationship with 3-racks [1] and
Leibniz 3-algebras [6]. Trigroups are essentially associative trioids in which
there are bar-units and bar-inverses. We prove that 3-racks can be constructed
by conjugating trigroups. We also prove that trigroups equipped with a smooth
manifold structure produce Leibniz 3-algebras via their associated Lie 3-racks.

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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph