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The spin-orbit coupling can lead to exotic states of matter and unexpectedbehavior of the system properties. In this paper, we investigate the influenceof spin-orbit coupling induced by proximity effects on a monolayer ofsuperconductor (with s-wave or d-wave pairing) placed on an insulating bulk. Weshow that the critical temperatures $T_{c}$ of the superconducting states canbe tuned by the spin-orbit coupling both in the case of on-site and inter-sitepairing. Moreover, we discuss a possibility of changing the location of themaximal $T_{c}$ from the half-filling into the underdoped or overdoped regimes.

Superconducting monolayer deposited on substrate: effects of the spin-orbit coupling induced by proximity effects