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- W2890423038 abstract "Abstract It is known that many logical algebras can be considered as L-algebras. In this paper, we first construct an effect algebra ( E , ⊕ , 0 , 1 ) that cannot be converted into an L-algebra ( E , → , 0 , 1 ) with negation such that x → 0 is the orthosupplement. Then we prove that every lattice-ordered effect algebra gives rise to an L-algebra with the same orthosupplement. Finally, we characterize LE-L-algebras as lattice-ordered effect algebras. As an application, we extend those results obtained in some recent references for orthomodular lattices and MV-algebras." @default.
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- W2890423038 date "2019-08-01" @default.
- W2890423038 modified "2023-09-25" @default.
- W2890423038 title "Lattice-ordered effect algebras and L-algebras" @default.
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- W2890423038 doi "https://doi.org/10.1016/j.fss.2018.08.013" @default.
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