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On the construction of three-valued Lukasiewicz-Moisil algebras - MaRDI portal

On the construction of three-valued Lukasiewicz-Moisil algebras (Q795040)

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scientific article; zbMATH DE number 3861153
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English
On the construction of three-valued Lukasiewicz-Moisil algebras
scientific article; zbMATH DE number 3861153

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    On the construction of three-valued Lukasiewicz-Moisil algebras (English)
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    1984
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    The author generalises A. Monteiro's construction of a three-valued Lukasiewicz-Moisil algebra from a monadic Boolean algebra and gives a construction of a three-valued Lukasiewicz-Moisil algebra from a monadic three-valued Lukasiewicz-Moisil algebra. On the other hand, a construction of a monadic three-valued Lukasiewicz-Moisil algebra from a monadic n-valued Lukasiewicz-Moisil algebra is presented. The author notes without proof that a three-valued Lukasiewicz-Moisil algebra can be constructed from a monadic \((1+\theta)\)-valued algebra.
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    distributive lattice
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    equivalence relation
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    three-valued Lukasiewicz- Moisil algebra
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