  We discuss relevant aspects of the exact q-thermostatistical treatment for an
ideal Fermi system. The grand canonical exact generalized partition function is
given for arbitrary values of the nonextensivity index q, and the ensuing
statistics is derived. Special attention is paid to the mean occupation numbers
of single-particle levels. Limiting instances of interest are discussed in some
detail, namely, the thermodynamic limit, considering in particular both the
high- and low-temperature regimes, and the approximate results pertaining to
the case q \sim 1 (the conventional Fermi-Dirac statistics corresponds to q=1).
We compare our findings with previous Tsallis' literature.
