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We consider Jordanian deformations of the AdS_5xS^5 superstring action. Thedeformations correspond to non-standard q-deformation. In particular, it ispossible to perform partial deformations, for example, only for the S^5 part.Then the classical action and the Lax pair are constructed with a linear,twisted and extended R operator. It is shown that the action preserves thekappa-symmetry.