Abstract
Following the example provided by the ordinary derivative and vector Yang-Mills fields, we give an argument which demonstrates that spinor superfields may be combined with the fermionic components of the invariant superspace gradient in order to define a fermionic, supersymmetric Yang-Mills covariant derivative. Additionally, it is shown that this fermionic, covariant gradient is the "square root" of a bosonic covariant gradient. Thus, it is possible to define a "supercovariant derivative" in superspace. We also discuss some general aspects of supersymmetric, Yang-Mills theories.

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