$R_0$-algebras and weak dually residuated lattice ordered semigroups

Liu Lianzhen; Li Kaitai

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Displaying similar documents to “ $R_{0}$ -algebras and weak dually residuated lattice ordered semigroups”

MV-algebras are categorically equivalent to a class of $𝒟ℛ l_{1 (i)}$ -semigroups

Jiří Rachůnek (1998)

Mathematica Bohemica

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In the paper it is proved that the category of -algebras is equivalent to the category of bounded -semigroups satisfying the identity $1 - (1 - x) = x$ . Consequently, by a result of D. Mundici, both categories are equivalent to the category of bounded commutative -algebras.