Measures and idempotents in the non-commutative situation
Abstract
We investigate measures on sequential orthomodular posets with
values in a vector space or a (not necessarily commutative)
algebra with reasonable sequential topologies, using a universal
property. Unfortunately, the universal
measure and the universal multiplicative measure need not coincide
any more as in the commutative situation. This may have applications
in quantum physics.
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PDFDOI: https://doi.org/10.2478/tatra.v49i0.117