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                    چکیده
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                     An algebraic quantum group is a regular multiplier Hopf algebra  with a non-zero left invariant
functional on it. There is a natural subspace  of the space of all linear functionals on , carrying the structure
of a non-degenerate algebra. In this paper, for any algebraic quantum group  and its dual  , we introduce an
injective linear map from  to the multiplier algebra of    and show this map makes  into a left
 comodule. 
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