Characterization of Partial Lattices on Countable Boolean Lattice

1
D.V.S.R. Anil Kumar
D.V.S.R. Anil Kumar
2
Y.V.Seshagiri Rao
Y.V.Seshagiri Rao
3
Y Narasimhulu
Y Narasimhulu
4
Venkata Sundaranand Putcha
Venkata Sundaranand Putcha
1 Nagarjuna University

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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.

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References

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

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

D.V.S.R. Anil Kumar. 2013. \u201cCharacterization of Partial Lattices on Countable Boolean Lattice\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F6): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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July 5, 2013

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English

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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.

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Characterization of Partial Lattices on Countable Boolean Lattice

D.V.S.R. Anil Kumar
D.V.S.R. Anil Kumar Nagarjuna University
Y.V.Seshagiri Rao
Y.V.Seshagiri Rao
Y Narasimhulu
Y Narasimhulu
Venkata Sundaranand Putcha
Venkata Sundaranand Putcha

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