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Abstract
We apply Tannaka duality machinery to a one-generator category, which gives a general version of the FRT-construction for what we have called the homogeneous and non-homogeneous categories. In the case of n-homogeneous category, we present a Hopf algebra approach for solving the mixed Yang-Baxter type equations.
ACKNOWLEDGMENT
The first version of this work was accomplished at Macquarie University. The author is grateful to Professor Ross Street for showing me these interesting papers and helpful discussions. Thanks also to the referee for his careful correcting. Project supported by the Funds from the Ministry of Education of China and the National Natural Science Foundation of China.