In https://mathoverflow.net/questions/258512/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 . . . 

  [1]: https://mathoverflow.net/questions/258512/generalisation-of-the-quantum-exterior-algebra