References
R. Balbes andP. Dwinger,Distributive Lattices, University of Missouri Press, Columbia, Missouri, 1974.
A. Bialinicki-Birula andH. Rasiowa,On the Representation of quasi-Boolean algebras, Bull Acad. Polon. Sci. CI. III5 (1957), 259–261.
A. Bialinicki-Birula andH. Rasiowa,On constructible falsity in the constructive logic with strong negation, Colloq. Math.6 (1958), 287–310.
N. Bourbaki,General Topology, Part I, Hermann, Paris; Addison-Wesley Reading, Massachusetts-Palo Alto-London-Don Mills-Ontario. 1966.
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.
R. Cignoli,Boolean elements in Lukasiewicz algebras. I, proc. Japan Acad.41, (1965), 670–675.
R. Cignoli,Stone filters and ideals in distributive lattices, Bull. Math. Soc. Sci. Math. R. S. Roumanie,15 (63) (1971), 131–137.
R. Cignoli,Injective De Morgan and Kleene algebras, Proc. Amer. Math. Soc.,47 (1975), 269–278.
W. Cornish,Normal lattices, J. Austral. Math. Soc.14 (1972) 200–215.
B. A. Davey,Sheaf spaces and sheaves of universal algebras, Math. Z.134 (1973), 275–290.
G. Epstein andA. Horn,P-algebras, an abstraction from Post algebras, Alg. Univ.,4 (1974), 195–206.
G. Epstein andA. Horn,Logics which are characterized by subresiduated lattices, Zeitschr. f. Math. Logik und Grundlagen d. Math.22 (1976), 199–210.
L. Gillmann andM. Jerison,Rings of continuous functions, Van-Nostrand, Princeton, N.J., 1960.
A. Horn,Logic with truth values in a linearly ordered Heyting algebra, J. Symb. Logic,34 (1969), 395–480.
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.
M. Mandelker,Relative annihilators in lattices, Duke Math. J.37 (1970), 377–386.
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].
A. Monteiro,Linearisation de la logique positive de Hilbert-Bernays, Rev. Unión Mat. Argent.20 (1962), 308–309.
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.
J. Varlet,On the characterization of Stone lattices, Acta Sci. Math. (Szeged)27 (1966), 81–84.
H. Wallman,Lattices and topological spaces. Ann. Math.,39 (1938), 112–126.
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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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DOI: https://doi.org/10.1007/BF02485407