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

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Authors

  • UGC-JRF, Department of Philosophy , University of Kalyani, P.O.: Kalyani , Dist: Nadia , PIN: 741235 ,IN
  • Department of Philosophy, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235 ,IN
  • Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235. ,IN

DOI:

https://doi.org/10.24906/isc/2018/v32/i6/180789

Keywords:

Boolean Algebra, Principle of Duality, Ideal, Filter.

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.

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Published

2018-11-01

How to Cite

Behara, R., Biswas, K., & Datta, S. K. (2018). A Brief Study on Boolean Logic as a Dual Analogue of an Ideal. Indian Science Cruiser, 32(6), 32–35. https://doi.org/10.24906/isc/2018/v32/i6/180789

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References

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.