On certain BS-representations and a characterization of complete boolean algebras

  • V. K. Balachandran


Prime Ideal Boolean Algebra Distributive Lattice Maximal Element Complete Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Balachandran, V. K. “Ideals of the distributive lattice,”J. Ind. Math. Soc., 1948,12, 49–56.MathSciNetGoogle Scholar
  2. 2.
    — “A characterization of ΣΔ-rings of subsets,”Fundamenta Mathematicae, 1954,41, 38–41.MATHMathSciNetGoogle Scholar
  3. 3.
    — “A characterization for complete Boolean algebras,”J. Madras Univ., 1954,24 B, 273–78.MathSciNetGoogle Scholar
  4. 4.
    Birkhoff, G. and Frink, O. “Representations of lattices by sets,”Trans. Amer. Math. Soc., 1948,64, 299–316.MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Birkhoff, G. “Lattice theory,”Amer. Math. Soc. Colloq. Publ., 1948,25.Google Scholar
  6. 6.
    MacNeille, H. M. “Partially ordered sets,”Trans. Amer. Math. Soc., 1937,42, 416–60.MATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Stone, M. H. “Topological representations of distributive lattices and Brouwerian logics,”Cas. Pro. Pest. Math. Fys., 1937,67, 1–25.Google Scholar
  8. 8.
    Vaidyanathaswamy, R. “The ideal-theory of the partially ordered set,”Proc. Ind. Acad. Sci., 1941,13A, 94–99.MathSciNetGoogle Scholar
  9. 9.
    — “On the lattice of open sets of a topological space,”ibid.,, 1942,16A, 379–86.MathSciNetGoogle Scholar

Copyright information

© Indian Academy of Sciences 1957

Authors and Affiliations

  • V. K. Balachandran
    • 1
  1. 1.Ramanujan InstituteMadras-7

Personalised recommendations