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Characterization of Boolean Valued Star and Mega Lattice Functions

Author(s): J. Pramada | J. Venkateswara Rao | D.V.S.R. Anil Kumar

Journal: Asian Journal of Algebra
ISSN 1994-540x

Volume: 5;
Issue: 1;
Start page: 1;
Date: 2012;
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Keywords: measurable functions | measure | s-algebra | Lattice | lattice simple function

This paper is a study on Boolean valued star and mega lattice functions. It establishes a positive lattice measure, complex lattice measure, star lattice function and founds that every star lattice function is a positive lattice measure on s(L) and every star lattice function is a s-additive on X. Also, it classifies mega lattice function, mega lattice and demonstrates that in a mega lattice the limit of the integral is equal to the integral of the limit and every mega lattice is a s-additive. Finally, it confirms that every mega lattice preserves Fatous lemma.
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