No abstract

No abstract

No abstract

Let D q (n) be the quantized matrix algebra introduced by Dipper and Donkin. It is shown explicitly that the defining relations of D q (n) form a Gröbner-Shirshov basis. Consequently, several structural properties of D q (n) are derived.

Let [Formula: see text] be the standard quantized matrix algebra introduced by Faddeev, Reshetikhin, and Takhtajan. It is shown that some structural properties of [Formula: see text] and their modules may be established and realized in a constructive-computational way.