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Superconducting spin valves with ferromagnetic layers are promising devices for implementing non-volatile memory and logic elements. Conventional spin-valves contain two or more ferromagnetic layers with control due to the changing the relative magnetization direction [1,2]. At the same time, devices with a single ferromagnetic layer have significant advantages [3,4]. One of the possible implementations of this type of device is hybrid structure that include metal layers with significant spin-orbit interaction. We have investigated the proximity effect in hybrid structures with superconducting S, ferromagnetic F, and normal metal layers with significant spin-orbit interaction NSO. In such hybrid structures, the superconducting order parameter is affected by both magnetic and spin-orbit interactions, which leads to a change of the pairing amplitude and the appearance of triplet components with a nonzero spin projection. We have considered the proximity effect in structures of different types of spin-orbit interaction: Rashba, Dresselhaus and mixed type. It was shown that a metal layer with significant spin-orbit interaction effectively suppresses the triplet components of the pairing amplitude, which leads to an increase in the critical temperature of the superconductor. In the case of a mixed spin-orbit interaction, the suppression efficiency also on the direction of the magnetization, which makes it possible to use such structures as a spin valve. This work was supported by grants from the Russian Science Foundation 20-12-00130 (theory and calculations of basic hybrid structures, as well as Josephson junctions), and from Russian Ministry of Science and Education Grant No. 075-15-2021-1353 (study of multilayer structures with multiply repeating groups of layers).