Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries in Synaptic Algebras   A synaptic algebra is a generalization of the Jordan algebra of selfadjoint
elements of a von Neumann algebra. We study symmetries in synaptic algebras,
i.e., elements whose square is the unit element, and we investigate the
equivalence relation on the projection lattice of the algebra induced by finite
sequences of symmetries. In case the projection lattice is complete, or even
centrally orthocomplete, this equivalence relation is shown to possess many of
the properties of a dimension equivalence relation on an orthomodular lattice.

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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: econ