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It is customary to assume that the law of conservation of the angularmomentum is violated for an asymmetric energy-momentum tensors. This is thereason for criticizing the Minkowski tensor and other asymmetricenergy-momentum tensors. In this paper, it is shown that the laws ofconservation of energy and momentum following from an asymmetric tensor in theform of its total divergence are equivalent to the divergence of its symmetricpart. It is shown that the total divergence of the antisymmetric part of theasymmetric tensor is identically zero. From this, it follows that for theasymmetric energy-momentum tensor the law of conservation of the angularmomentum is also fulfilled. It is shown that the linear invariant of theMinkowski tensor for a vacuum does not correspond to the quadratic invariant ofthe electromagnetic field. This indicates that the linear invariant of theMinkowski tensor and the three-dimensional stress tensor are not correct.

About conservation the angular momentum for asymmetric tensors in electrodynamics