Geodesic
Some remarks on measures on orthogonal rational projections and the rational sphere
Lobachevskii journal of mathematics, Tome 9 (2001), pp. 47-53.

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We examine measures on the quantum logic of all projections with rational $n\times n$-matrices and on its sublogic generated by all projections onto one-dimensional subspaces in $\mathbb Q^n$ passing through elements of the unit sphere in $\mathbb Q^n$.
Keywords: Gleason theorem, quantum logic, projection, measure, rational sphere. 
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     title = {Some remarks on measures on orthogonal rational projections and the rational sphere},
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D. Kh. Mushtari. Some remarks on measures on orthogonal rational projections and the rational sphere. Lobachevskii journal of mathematics, Tome 9 (2001), pp. 47-53. http://geodesic.mathdoc.fr/item/LJM_2001_9_a5/