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The interplay of the microscopic models and the symmetry considerations inapplication to the superconducting state of putative chiral superconductorSr2RuO4 are presented. There is demonstrated that chiral two-bandsuperconducting ordering recently proposed as candidate for the superconductingstate in this material and having the long-expected property such as theintrinsic Hall effect does not exist as energetically disadvantageous incomparison with the states not supporting the Hall effect. Other chiralmulti-band superconducting states with intraband pairing do not support anintrinsic Hall properties as well. The superconducting states with directinterband pairing could serve as the probable candidates for the Hall effectexistence.

Whether there is the intrinsic Hall effect in a multi-band superconductor?