Abstract
We investigate quasilinear and weakly linear QMV algebras as a generalization of the algebraic structure of all effects of a Hilbert space and we study the varieties generated by these classes. Finally, we prove some results concerning locally finite and Archimedean QMV algebras.
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References
Chang, C. C. (1957). Algebraic analysis of many valued logics,Transactions of the American Mathematical Society,88, 467–490.
Chang, C. C. (1958). A new proof of the completeness of Łukasiewicz axioms,Transactions of the American Mathematical Society,93, 74–80.
Dalla Chiara, M. L., and Giuntini, R. (n.d.)( Partial and unsharp quantum logics,Foundations of Physics,24, 1161–1177.
Foulis, D. J., and Bennett, M. K. (n.d.). Effect algebras and unsharp quantum logics,Foundations of Physics, to appear.
Giuntini, R. (n.d.). Quantum MV algebras, preprint.
Giuntini, R., and Greuling, H. (1989). Toward a formal language for unsharp properties,Foundations of Physics,20, 931–935.
Kôpka, F., and Chovanec, F. (1994). D-posets,Mathematica Slovaca,44, 21–34.
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Giuntini, R. Quasilinear QMV Algebras. Int J Theor Phys 34, 1397–1407 (1995). https://doi.org/10.1007/BF00676251
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DOI: https://doi.org/10.1007/BF00676251