???? graded modules of graded commutative algebra as forming some sort of "hopf category" with comultiplication corresponding to .... ????? ......

??? some duality confusion ... ??? .... ??? ...

??? try to straighten out ... ??? ....

????? any relationship to "combined doctrine" and associated compatibility condition ..... ??????? ...... ????? ..... ??? hmmm, a problem with this idea is that it seems we should expect hopf category structure here to be rather delicate, disappearing for example as soon as you pass from graded modules to some sort of constrained such ...... ????? .....

???? categorified comultiplication and tensor product of categorified modules .... ???? ....