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Let $D_q(n)$ be the quantized matrix algebra introduced by Dipper and Donkin.It is shown that some structural properties of $D_q(n)$ and their modules maybe established and realized by means of Gr\"obner-Shirshov basis theory.

Structural Properties of The Quantized Matrix Algebra $D_q(n)$ Established by Means of Gr\"obner-Shirshov Basis Theory