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The lattice structure of some Lukasiewicz algebras

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References

  1. R. Balbes andP. Dwinger,Distributive lattices, University of Missouri Press, Columbia, Missouri 65201, 1974.

    MATH  Google Scholar 

  2. R. Cignoli,Boolean elements in Lukasiewicz algebras I, Proc. Japan Acad.,41 (1965), 670–675.

    MATH  MathSciNet  Google Scholar 

  3. R. Cignoli andA. Monteiro,Boolean elements in Lukasiewicz algebras II, Proc. Japan Acad.,41 (1965), 676–680.

    Article  MATH  MathSciNet  Google Scholar 

  4. R. Cignoli,Moisil Algebras, Notas de Lógica Matemática, No. 27, Instituto de Matemática, Universidad Nac. del Sur. Bahía Blanca, Argentina, 1970.

    MATH  Google Scholar 

  5. R. Cignoli,Injective De Morgan and Kleene algebras, Proc. Amer. Math. Soc.,47 (1975), 269–278.

    Article  MATH  MathSciNet  Google Scholar 

  6. R. Cignoli The Lattice of global sections of sheaves of chains over Boolean spaces, Algebra Universalis,8 (1978) 357–373.

    MATH  MathSciNet  Google Scholar 

  7. G. Epstein andA. Horn,P-Algebras, an abstraction from Post algebras, Algebra Universalis,4 (1974), 195–206.

    MATH  MathSciNet  Google Scholar 

  8. G. Epstein andA. Horn,Logics which are characterized by subresiduated lattices, Z. Math. Logik Grundlagen Math.,22 (1976), 199–210.

    MATH  MathSciNet  Google Scholar 

  9. R. Grigolia,Algebraic analysis of Lukasiewicz-Tarski's n-valued logical systems. In: Selected Papers on Lukasiewicz Sentential Calculi (R. Wójcicki and G. Malinowski, Editors) Ossolineum, Wroclaw, Warszawa, 1977, 81–92.

    Google Scholar 

  10. G. Moisil,Notes sur les logiques non-chryssippiennes, Ann. Sci. Univ. Jassy,27 (1941), 86–98.

    MATH  MathSciNet  Google Scholar 

  11. J. Varlet,Algebres de Lukasiewicz trivalentes, Bull. Soc. Roy. Sci. Liège,37 (1968), 399–408.

    MATH  MathSciNet  Google Scholar 

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Presented by R. S. Pierce.

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Cignoli, R., de Gallego, M.S. The lattice structure of some Lukasiewicz algebras. Algebra Universalis 13, 315–328 (1981). https://doi.org/10.1007/BF02483844

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