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

Abstract

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

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