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A Brief Study on Boolean Logic as a Dual Analogue of an Ideal


Affiliations
1 UGC-JRF, Department of Philosophy , University of Kalyani, P.O.: Kalyani , Dist: Nadia , PIN: 741235, India
2 Department of Philosophy, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235, India
3 Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235., India
     

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In this paper we wish to establish a Structure termed as Quotient Boolean algebra from the view point of a filter as a dual analogue of an Ideal. Some related properties are also to be developed in this work.

Keywords

Boolean Algebra , Principle of Duality, Ideal, Filter.
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  • Boolean Algebra and its Application, John Eldon Whitesitt. Dover Publication.

  • Logic and Boolean Algebra, Bradford Henry Arnold, Prentice-Hall, 1962, pp. 1-144

  • The Laws of Thought, George Boole, Release Date: July 19, 2017

  • G. Boole, An Investigation of the Laws of Thought , Dover Publication , New York , 1958.

  • G. Boole, The Laws of Thought , facsimile of 1854 edition, 1854/2003.


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  • A Brief Study on Boolean Logic as a Dual Analogue of an Ideal

Abstract Views: 492  |  PDF Views: 5

Authors

Rinku Behara
UGC-JRF, Department of Philosophy , University of Kalyani, P.O.: Kalyani , Dist: Nadia , PIN: 741235, India
Kuheli Biswas
Department of Philosophy, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235, India
Sanjib Kumar Datta
Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235., India

Abstract


In this paper we wish to establish a Structure termed as Quotient Boolean algebra from the view point of a filter as a dual analogue of an Ideal. Some related properties are also to be developed in this work.

Keywords


Boolean Algebra , Principle of Duality, Ideal, Filter.

References





DOI: https://doi.org/10.24906/isc%2F2018%2Fv32%2Fi6%2F180789