Some Properties of Finite Boolean Algebra

Some Properties of Finite Boolean Algebra

α

Md. Ekramul

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σ

Md. Ekramul Islam

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ρ

Md. Rezwan Ahamed Fahim

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Ѡ

Arjuman Ara

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¥

Md. Hannan Miah

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α Pabna University of Science and Technology

Some Properties of Finite Boolean Algebra

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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.

References

7 Cites in Article

Reference Format

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.
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.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Md. Ekramul. 2013. \u201cSome Properties of Finite Boolean Algebra\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F9): .

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GJSFR Volume 13 Issue F9
Pg. 61- 73

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Boolean algebra principal dual ideal principal ideal

Submission ReceivedSeptember 7, 2013
Peer Review Double Blind
Handling Editor
Accepted October 7, 2013
Published October 20, 2013

Version of record

v1.2

Issue date

November 5, 2013

Language

en

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Article Matrices

Total Score: 104

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Md. Ekramul Islam, Md. Rezwan Ahamed Fahim, Arjuman Ara, Md. Hannan Miah (PhD/Dr. count: 0)

View Count (all-time): 138

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Publish Date: 2013 11, Tue

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Total Views: 4841

Total Downloads: 2515

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Published Article

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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