Bibliography
Balachandran, V. K. “Ideals of the distributive lattice,”J. Ind. Math. Soc., 1948,12, 49–56.
— “A characterization of ΣΔ-rings of subsets,”Fundamenta Mathematicae, 1954,41, 38–41.
— “A characterization for complete Boolean algebras,”J. Madras Univ., 1954,24 B, 273–78.
Birkhoff, G. and Frink, O. “Representations of lattices by sets,”Trans. Amer. Math. Soc., 1948,64, 299–316.
Birkhoff, G. “Lattice theory,”Amer. Math. Soc. Colloq. Publ., 1948,25.
MacNeille, H. M. “Partially ordered sets,”Trans. Amer. Math. Soc., 1937,42, 416–60.
Stone, M. H. “Topological representations of distributive lattices and Brouwerian logics,”Cas. Pro. Pest. Math. Fys., 1937,67, 1–25.
Vaidyanathaswamy, R. “The ideal-theory of the partially ordered set,”Proc. Ind. Acad. Sci., 1941,13A, 94–99.
— “On the lattice of open sets of a topological space,”ibid.,, 1942,16A, 379–86.
Author information
Authors and Affiliations
Additional information
(Communicated by Dr. R. Vaidyanathaswamy,f.a.sc.)
Rights and permissions
About this article
Cite this article
Balachandran, V.K. On certain BS-representations and a characterization of complete boolean algebras. Proc. Indian Acad. Sci. 45, 35–46 (1957). https://doi.org/10.1007/BF03052573
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03052573