Some Properties of Finite Boolean Algebra

Authors

  • Md. Ekramul

  • Md. Rezwan Ahamed Fahim

  • subornahasibul

  • hannanmathbrur

principal ideal, principal dual ideal, boolean algebra., Boolean algebra

Abstract

In this paper we examine the relationship between the Ideal and Boolean Algebra of Lattice. Here the main result is that principal ideal (atom), principal dual ideal (filter) and also their product are Boolean algebra.

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How to Cite

Some Properties of Finite Boolean Algebra. (2013). Global Journal of Science Frontier Research, 13(40), 61-73. https://journalofscience.org/index.php/GJSFR/article/view/103245

 

References

G Gratzer (1971) Lattice theory, First concepts and distributive lattices.

G Gratzer (1978) General lattice theory.

K Vijoy, Khanna (1994) Lattices and Boolean Algebras.

B Banaschewski, K Bhutani (1986) Boolean algebras in a localic topos. 100(1), 43-55.

J Bell Zorn's lemma and complete Boolean algebras in intuitionistic type theories. 6. Forthcoming.

M Latif n-Ideals of a Lattice.

S Burris, H Sankappanavar (1981) A Course in Universal Algebra.

Some Properties of Finite Boolean Algebra

Published

2013-08-23

Issue

Vol. 13 No. 40 (2013): GJSFR, Volume 13, Issue 40 (F9), Year 2013

Section

Articles

License

Copyright (c) 2013 Authors and Global Journals Private Limited

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Some Properties of Finite Boolean Algebra. (2013). Global Journal of Science Frontier Research, 13(40), 61-73. https://journalofscience.org/index.php/GJSFR/article/view/103245