  We investigate the resonant production of the lighter sbottom at the proposed
Large Hadron Electron Collider and its subsequent decay into $e^- + jet$ final
state, under the single coupling dominance hypothesis in the framework of the
$R$-parity-violating minimal supersymmetric standard model. It is concluded
that the LHeC running at the high electron beam energy configuration of $E_e =
150 {\rm GeV}$ would provide excellent opportunities to search for the sbottom
resonance and probe the lepton-number-violating $\hat{L}\hat{Q}\hat{D}$
$\lambda^{\prime}_{113}$-type Yukawa interaction. With about $1 fb^{-1}$
integrated luminosity expected in $E_e = 150 {\rm GeV}$ $e^-p$ collision at the
LHeC, either the lighter sbottom RPV resonance could be directly detected up to
$1 {\rm TeV}$, or the $L$-violating coupling $\lambda^{\prime}_{113}$ could be
constrained at an unprecedented level of precision compared with all the
knowledge derived from indirect measurements.
