Characterization of Partial Lattices on Countable Boolean Lattice

Characterization of Partial Lattices on Countable Boolean Lattice

D.V.S.R. Anil Kumar * §

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Venkata Seshagiri rao Yangala

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Nagarjuna University

Characterization of Partial Lattices on Countable Boolean Lattice

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Abstract

In this paper new concepts countable join property, countable meet property, Plattice and P -lattice are introduced. We established that P -lattice and P -lattice are measureable partial lattices and characterized partial lattices of a lattice through countable join and meet properties. We also established some interesting result on the injective property of the lattice measurable functions defined over countable Boolean lattices.

References

10 Cites in Article

Reference Format

D Anil Kumar,J Venkateswara Rao,E Ravi Kumar (2011). International Journal of Contemporary Mathematical Sciences.
Garrett Birkhoff (1967). Lattice Theory.
Gene De Both (1973). Additive Set Functions on Lattices of Sets.
Sen Gupta Chapter1sigma Algebras.
G Gratzer (1978). General Lattice Theory.
Halmos Paul Injective and Projective Boolean Algebras, Research supported in part by a grant from the National science foundation.
P R Halmos (1974). Measure Theory.
Pao-Sheng Hus (2000). Characterization of outer measures associated with lattice measures.
Szasz Gabor (1963). Introduction to lattice theory.
J Tanaka (2009). Unknown Title.

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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

D.V.S.R. Kumar, Venkata Yangala. 2013. "Characterization of Partial Lattices on Countable Boolean Lattice". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F6).

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GJSFR Volume 13 Issue F6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

lattice measure partial lattice -algebra

Submission ReceivedMay 17, 2013
Peer Review Double Blind
Handling Editor
Accepted June 7, 2013
Published June 21, 2013

Version of record

v1.2

Issue date

July 5, 2013

Language

English

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Article Matrices

Total Score: 104

Country: India

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

Authors: D.V.S.R. Anil Kumar, Y.V.Seshagiri Rao, Y Narasimhulu, Venkata Sundaranand Putcha (PhD/Dr. count: 0)

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Publish Date: 2013 06, Sat

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Total Downloads: 94

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