References
Balbes, R. andDwinger, P.,Distributive Lattices, University of Missouri Press, Columbia, Missouri, 1974.
Birkhoff, G.,Lattice theory, Amer. Math. Soc. Colloq. Publ, Vol. 25, Revised Edition, 1948, Providence.
Birkhoff, G. andPierce, R. S.,Lattice-ordered rings, Anais Acad. Brasil, ci.28 (1956), 41–69.
Burris, S. andSankappanavar, H. P.,A Course in Universal Algebra, Springer-Verlag, New York, 1981.
Comer, S.,Representations of Algebras by Sections Over Boolean Spaces, Pacific J. of Math.38 (1971), 29–38.
Grätzer, G.,Universal Algebra, Van Nostrand, Princeton, 1968.
Keimel, K.,The Representation of Lattice Ordered Groups and Rings by Sections in Sheaves, Lecture Notes in Math.248. Springer-Verlag (Berlin and New York, 1979).
Kelley, J. L.,General Topology, Van Nostrand, Princeton, 1955.
Krauss, P. H. andClark, D. M.,Global subdirect Products, Amer. Math. Soc. Mem.210 (1979).
Lakser, H.,Principal Congruences of Pseudo-complemented Distributive Lattices, Proc. Amer. Math. Soc.37 (1973), 32–36.
Lakser, H.,The Structure of Pseudo-complemented Distributive Lattices I.: Subdirect Decomposition, Trans. Amer. Math. Soc.156 (1971), 335–342.
McCoy, N. H.,Rings and Ideals, The Math. Assoc. of Amer., 1948.
Priestley, H.,Representation of Distributive Lattices by means of Ordered Stone Spaces, Bull. London Math. Soc.2 (1970), 186–190.
Priestley, H.,Ordered Sets and Duality for Distributive Lattices, Annals of Discrete Math.23 (1984), 39–60.
Vaggione, D. J.,Locally Boolean Spectra, preprint.
Werner, H.,A generalization of Comer's Sheaf-representation Theorem, Cont. to Gen. Alg. (Proc. Klagenfurt Conf., Klagenfurt, 1978) pp. 395–397, Heyn, Klagenfurt, 1979.
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Dedicated to my parents, Hugo and Beby.
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Vaggione, D.J. Sheaf representation and Chinese remainder theorems. Algebra Universalis 29, 232–272 (1992). https://doi.org/10.1007/BF01190609
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DOI: https://doi.org/10.1007/BF01190609