  We investigate in detail the effects of the R-parity lepton number violation
in the minimal supersymmetric standard model (MSSM) on the parent process $pp
\to e^+ e^- + X$ at the CERN Large Hadron Collider (LHC). The numerical
comparisons between the contributions of the R-parity violating effects to the
parent process via the Drell-Yan subprocess and the gluon-gluon fusion are
made. We find that the R-violating effects on $e^+ e^-$ pair production at the
LHC could be significant. The results show that the cross section of the $ e^+
e^-$ pair productions via gluon-gluon collision at the LHC can be of the order
of $10^2$ fb, and this subprocess maybe competitive with the production
mechanism via the Drell-Yan subprocess. We give also quantitatively the
analysis of the effects from both the mass of sneutrino and coupling strength
of the R-parity violating interactions.
