This dissertation consists of four sections.The first and second sections are introduction and preliminaries respectively.In the third section, we firstly define an associative algebra (?) on the groundwork of [6], then give a necessary and sufficient condition under which (?) has triangular decompostion over a bialgera. After that, we introduce the concept of free super-braided double. Finally, we give the exmples of super-braided double or the ideas of constructing super-braided double.In the forth section, we introduce the concept of super-braided double on the basis of free super-braided double. We investigate the minimal double and give a description of the relations in the minimal double. |