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The difference between the $\mathrm{\ensuremath{\Lambda}}$ and $\overline{\mathrm{\ensuremath{\Lambda}}}$ longitudinal spin transfers in the semi-inclusive deep inelastic scattering process is intensively studied. The study is performed in the current fragmentation region, by considering the intermediate hyperon decay processes and sea quark fragmentation processes, while the strange sea $s\overline{s}$ asymmetry in the nucleon …