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- W3046824943 abstract "We introduce a two-sorted algebraic theory whose models are states of MV-algebras and, to within a categorical equivalence that extends Mundici's well-known one, states of Abelian lattice-groups with (strong order) unit. We discuss free states, and their relation to the universal state of an~MV-algebra. We clarify the relationship of such universal states with the theory of affine representations of lattice-groups. Main result: The universal state of any locally finite MV-algebra---in particular, of any Boolean algebra---has semisimple codomain." @default.
- W3046824943 created "2020-08-07" @default.
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- W3046824943 date "2020-01-02" @default.
- W3046824943 modified "2023-09-27" @default.
- W3046824943 title "The two-sorted algebraic theory of states, and the universal states of MV-algebras" @default.
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