Characterization of Partial Lattices on Countable Boolean Lattice

D.V.S.R. Anil Kumar; Venkata Seshagiri rao Yangala

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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yakkalan §

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anand_putcha §

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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

3 Cites in Article

Reference Format

1. D. kumar,J. rao,E. kumar (2008). Charecterization of Class of Measurable Borel Lattices. International Journal of Contemporary Mathematical, 21-04.
2. Birkhoff. G (1967). Lattice Theory. Lattice Theory 3rd
3. Gene DE Both (1973). DE Both, Additive Set Functions on Lattices of Sets, Transactions of The American Mathematical Society, Volume 178. Transactions of The American Mathematical Society, 1973, 341-355.

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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. Anil Kumar, Venkata Seshagiri rao Yangala, yakkalan, anand_putcha. 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 26 (F6)).

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GJSFR Volume 13 Issue 26 (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 5, 2013

Version of record

v1.2

Issue date

June 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 05, Wed

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Total Views: 1.8K

Total Downloads: 98

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