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When does a generalized Boolean quasiring become a Boolean ring?
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DOI：10.1007/s00500-017-2983-y.png)
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Abstract
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Generalized Boolean quasirings are ring-like structures used as algebraic models in the foundations of axiomatic quantum mechanics. The quantum mechanical system corresponding to such a quasiring turns out to be a classical one if and only if this quasiring is a Boolean ring with unit. We characterize this situation by a single identity.
Keywords:
Generalized Boolean quasiring
Boolean ring with unit
Lattice with an antitone involution
Axiomatic quantum mechanics
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