A Note on Boolean Like Algebras

  • Authors

    • K. Pushpalatha
    • V. M.L.Hima Bindu
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.26660
  • Boolean algebra, Boolean like algebra, Boolean like ring, Boolean ring,

  • In this paper we develop on abstract system: viz Boolean-like algebra and prove that every Boolean  algebra is a Boolean-like algebra.  A necessary and sufficient condition for a Boolean-like algebra to be a Boolean algebra has been obtained.  As in the case of Boolean ring  and Boolean algebra, it is established that under suitable binary operations the Boolean-like ring and Boolean-like algebra are equivalent abstract structures.

     

  • References

    1. [1] Bhattacharya P.B., (1995) etc Basic Abstract Algebra, 2nd edition, Cambridge University Press

      [2] Foster, A.L. (1951), pk –rings and ring-logics, Ann.sci.Norm Pisa 5,279-300.

      [3] George F. Simmons (1963), Introduction to Topology and Modern Analysis, McGraw – Hill Book, Company, Inc

      [4] Jachim Lambek (1986) , Lectures on Rings and Modules, 3rd edition Chelsea pub. Company, New York, N.Y.

      [5] Swaminathan, V (1982 ), Boolean-like rings Ph.D thesis, A.U.

      [6] Thomas W. Hungerford(1974), Algebra, Holt, Rinehart and Winston, INC., New York

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  • How to Cite

    Pushpalatha, K., & M.L.Hima Bindu, V. (2018). A Note on Boolean Like Algebras. International Journal of Engineering & Technology, 7(4.10), 1015-1017. https://doi.org/10.14419/ijet.v7i4.10.26660