The Nature of Points in Countable Boolean Lattice Measures

D.V.S.R. Anil Kumar; Anil kumar; Y.Narasimhulu

The Nature of Points in Countable Boolean Lattice Measures

D.V.S.R. Anil Kumar * §

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Y.Narasimhulu

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§ T.K.R. College of Engineering and Technology, Meerpe...

The Nature of Points in Countable Boolean Lattice Measures

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Abstract

This paper describes a class of null sets; point, lattice measure of a point and lattice semi-finite measure were introduced. Here it has been derived a result that in a countable Boolean lattice the lattice measure of any two points are either disjoint or identical also the class of all points in countable Boolean lattice is countable and proved that Any union countable of null partial lattices is null partial lattice, also established that the class of points in countable Boolean lattice is countable. It has been obtained a theorem that if a countable Boolean lattice is pointless if and only if every non empty set in countable Boolean lattice contains countable number of disjoint non-empty sets. Finally it has been observed that some elementary nature of points in a countable Boolean lattice.

References

10 Cites in Article

Reference Format

D Kumar,J Venkateswara,E Rao,Ravi Kumar (2011). Characterization of Class of Measurable Borel Lattices.
D Kumar,Y Seshagiri Rao,Y Narasimhulu,Sundaranand Venkata,Putcha (2013). Global Journal of Science Frontier Research.
G Birkhoff (1967). Lattice Theory 3rd ed.
Gene De Both (1973). Additive Set Functions On Lattices Of Sets.
Sengupta Chapter1sigmaAlgebras.
G Gratzer (1978). General Lattice Theory.
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. Anil Kumar, Anil kumar, Y.Narasimhulu. 2014. "The Nature of Points in Countable Boolean Lattice Measures". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F1).

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GJSFR Volume 14 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

lattice measure of a point partial lattice measure semi-finite measure

Classification

GJSFR-F Classification ASM :03G10

28A05

28A12.

Submission ReceivedDecember 29, 2013
Peer Review Double Blind
Handling Editor
Accepted January 25, 2014
Published February 9, 2014

Version of record

v1.2

Issue date

May 3, 2014

Language

English

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Article Matrices

Total Score: 147

Country: India

Subject: Global Journal of Science Frontier Research

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

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Publish Date: 2014 02, Sun

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