In Generalisation of the quantum exterior algebra the quantum exterior algebra is discussed: $$ K\langle x_1,\dotsc x_n\rangle/(x_i^2,x_i x_j + q_{i,j}x_j x_i), $$ with nonzero field elements $q_{i,j}$ for $i<j$.

Where was this algebra first introduced and is there a standard text about such things? Is the standard name really the quantum exterior algebra? I have searched for it but not had any luck finding a good reference.

Moreover, where is the dimension of such algebras calculated? It must surely be the same as the normal exterior algebra . . .