Auslander class, $\g_C$ and $C$--projective modules modulo exact zero-divisors

For a semidualizing module $C$ over a ring $R$, we study the following classes modulo exact zero divisors: $\g_C$--projectives, $\mathcal G_C$; the Auslander class $\mathcal A_C$; the Bass class $\mathcal B_C$; $\mathcal{P}_C$--projective; ${\mathcal F}_C$--projective; and ${\mathcal I}_C$--injective dimensions.

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