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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.
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): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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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)
View Count (all-time): 127
Total Views (Real + Logic): 4894
Total Downloads (simulated): 2457
Publish Date: 2013 07, Fri
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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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