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

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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