弱T-余代数上的模范畴以及弱T-范畴

Module Category over Weak T-coalgebra and Weak T-category

给出了弱T-余代数的定义,构造了其上的模结构.在弱张量范畴的基础上引入弱T-范畴的概念,最后论证弱T-余代数上的模范畴即为弱T-范畴,从而对弱T-余代数进行了更深入的刻画.

The definition of weak T-coalgebra is given and modules over it is constructed. Furthermore the concept of weak T-categories on the basic of weak tensor category is intoduced. At last the module category over weak T-coalgebra is just the weak T-category is shown. Then more about the structure of the weak T-coalgebra can be obtained.