The consequences from the calculation of an angular momentum in an elementary volume of gases, liquids or solids are discussed. The modified laws of conservation for gases, fluids, and solids were received for the particles without structure. The equations for the gases follow from the modified Boltzmann equation. Usually the law of angular momentum is postulated in the form of the symmetric stress tensor in spite of the fact that in general case the movement of particles is non-inertial. Taking into account the angular moment law, a nonsymmetrical stress tensor is received. The method for calculation of nonsymmetrical part is suggested. Besides, the local equilibrium distribution function f₀, as the basis in the solution of the Boltzmann equation by the Chapman-Enskog method, is verified. Steady motion of conducting fluids in pipes under transverse magnetic fields is investigated for the modified equations. Other examples are discussed.