Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of Effect Algebras   We will define two ways to assign cohomology groups to effect algebras, which
occur in the algebraic study of quantum logic. The first way is based on
Connes' cyclic cohomology. The resulting cohomology groups are related to the
state space of the effect algebra, and can be computed using variations on the
Kunneth and Mayer-Vietoris sequences. The second way involves a chain complex
of ordered abelian groups, and gives rise to a cohomological characterization
of state extensions on effect algebras. This has applications to no-go theorems
in quantum foundations, such as Bell's theorem.

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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys