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The transverse polarization of Λ hyperon within reconstructed jets in hadronic collisions offers a complementary platform to probe the polarized fragmentation function D1T⊥. We illustrate that by performing a global analysis of the transverse polarization of Λ hyperons produced in different kinematic regions and in different hadronic collisions, such as pp, pp¯, pA, and γA collisions, we can pin down the flavor dependence of D1T⊥ which has been poorly constrained. Besides the single inclusive jet production, the γ/Z0-boson associated jet production supplements with more capability in removing ambiguities in the flavor dependence of D1T⊥.