Lattice Homomorphism Of Lattice Ordered Group
Mathematics Project Topics
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In this project, my main concern is to study the Lattice Homomorphism of Lattice OrderedrnGroups.First we will give the defnition of lattice order group and study its properties. Wernwill see the de_nition given by Stone and Von-Neumann.Next we will defne and study latticernhomorphisms. By considering set of all lattice homorphism of a lattice ordered grouprnG. We will show that the homomorphism of G for which (x) = (y) if and only if thernset of elements in G disjoint with x is the same as the set disjoint with y, is the maximalrnlattice homomorphism of G whose kernel is f0g.rnFinally, we deal with ideal of lattice ordered group and Archimedean Lattice ordered groups
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