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The lattice of global sections of sheaves of chains over Boolean spaces

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References

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

    MATH  Google Scholar 

  2. A. Bialinicki-Birula andH. Rasiowa,On the Representation of quasi-Boolean algebras, Bull Acad. Polon. Sci. CI. III5 (1957), 259–261.

    Google Scholar 

  3. A. Bialinicki-Birula andH. Rasiowa,On constructible falsity in the constructive logic with strong negation, Colloq. Math.6 (1958), 287–310.

    MathSciNet  Google Scholar 

  4. N. Bourbaki,General Topology, Part I, Hermann, Paris; Addison-Wesley Reading, Massachusetts-Palo Alto-London-Don Mills-Ontario. 1966.

    Google Scholar 

  5. C. C. Chang andA. Horn,Prime ideal characterization of generalized Post algebras, Proceedings of the Symposium in Pure Mathematics, Amer. Math. Soc.2 (1961), 43–48.

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  7. R. Cignoli,Stone filters and ideals in distributive lattices, Bull. Math. Soc. Sci. Math. R. S. Roumanie,15 (63) (1971), 131–137.

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  9. W. Cornish,Normal lattices, J. Austral. Math. Soc.14 (1972) 200–215.

    Article  MathSciNet  MATH  Google Scholar 

  10. B. A. Davey,Sheaf spaces and sheaves of universal algebras, Math. Z.134 (1973), 275–290.

    Article  MathSciNet  MATH  Google Scholar 

  11. G. Epstein andA. Horn,P-algebras, an abstraction from Post algebras, Alg. Univ.,4 (1974), 195–206.

    Article  MathSciNet  MATH  Google Scholar 

  12. G. Epstein andA. Horn,Logics which are characterized by subresiduated lattices, Zeitschr. f. Math. Logik und Grundlagen d. Math.22 (1976), 199–210.

    MathSciNet  MATH  Google Scholar 

  13. L. Gillmann andM. Jerison,Rings of continuous functions, Van-Nostrand, Princeton, N.J., 1960.

    Google Scholar 

  14. A. Horn,Logic with truth values in a linearly ordered Heyting algebra, J. Symb. Logic,34 (1969), 395–480.

    Article  MathSciNet  MATH  Google Scholar 

  15. K. Keimel,The representation of lattice-ordered groups and rings by sections in sheaves, Lect. Notes in Math.248, Springer-Verlag, Berlin-Heidelberg, New York, 1971.

    Google Scholar 

  16. M. Mandelker,Relative annihilators in lattices, Duke Math. J.37 (1970), 377–386.

    Article  MathSciNet  MATH  Google Scholar 

  17. A. Monteiro,L'arithmétique des filtres et les espaces topologiques, Segundo Symposium de Matemáticas, Centro de Cooperación Científica de la UNESCO para América Latina, Montevideo, 1954, p. 129–162. This article is reprinted as part II of [19].

  18. A. Monteiro,Linearisation de la logique positive de Hilbert-Bernays, Rev. Unión Mat. Argent.20 (1962), 308–309.

    MathSciNet  Google Scholar 

  19. A. Monteiro,L'arithmétique des filtres et les espaces topologiques. I–II. Notas de Lógica. Mathemática no 29–30, Instituto de Mathemática, Univ. Nac. del Sur, Bahía Blanca, Argentina, 1974.

    Google Scholar 

  20. J. Varlet,On the characterization of Stone lattices, Acta Sci. Math. (Szeged)27 (1966), 81–84.

    MathSciNet  MATH  Google Scholar 

  21. H. Wallman,Lattices and topological spaces. Ann. Math.,39 (1938), 112–126.

    Article  MathSciNet  Google Scholar 

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Cignoli, R. The lattice of global sections of sheaves of chains over Boolean spaces. Algebra Universalis 8, 357–373 (1978). https://doi.org/10.1007/BF02485407

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