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Research Article

Partial Densities on the Rational Numbers

Norris Sookoo and Ashok Sahai
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Conditions are obtained under which a partial density on a certain class of locally compact abelian groups can be extended to a density. These groups each consist of the integral multiples of a particular rational number, with the discrete topology. It is established that a collection of compatible measures on some of the quotient groups of one such group can be induced by a measure on a particular quotient group. This leads to the result that a partial density can be extended to a density when compatibility conditions are satisfied.

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  How to cite this article:

Norris Sookoo and Ashok Sahai , 2007. Partial Densities on the Rational Numbers. Journal of Applied Sciences, 7: 830-834.

DOI: 10.3923/jas.2007.830.834


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