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We show that the quantum charge and spin fluctuations, while sufficientlyrenormalizing the magnetic order parameter, do not destroy the coexistencephase of chiral d+id superconductivity and 120-degree spin ordering in astrongly correlated 2D system with a triangular lattice. The nontrivialtopology characterized by the topological invariant N3 is also preserved. It isshown that the Majorana mode exist among edge states in the topologicallynontrivial phase. The spatial structure of such mode is determined. The spinand charge fluctuations shift the critical values of electron density at whichquantum topological transitions occur. Increasing intersite Coulomb repulsionleads to decrease in the number of the topological transitions.

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Stability of the coexistence phase of chiral superconductivity and  noncollinear spin ordering with a nontrivial topology and strong electron  correlations