The absorption of fast magnetoacoustic waves propagating perpendicular to a magnetic field in the inhomogeneous plasma at a finite pressure due to the electron gyrorelaxation effect, i.e., transverse electron viscosity, is investigated. It is assumed that the frequency of Coulomb collisions of an electron with electrons and ions is much less than the wave frequency. The lengths of characteristic variations in the plasma density, temperature, and wave field are assumed to be much greater than the Larmor radius of ions. The solutions of linearized kinetic equations for the perturbed distribution functions of electrons and ions due to the electric field of a wave are obtained taking into account the collision integral. On the base of these solutions, the contributions of the gyrorelaxation effect to the RF current density and RF power absorbed by plasma are calculated.

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