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We studied an Ising ferromagnet on a bipartite square lattice with nearest-neighbor ferromagnetic exchange couplings between spin values SiA=2 and σjB=5/2, next-nearest-neighbor exchange couplings between spins, SiA=2 and an average term of single-ion anisotropy for each lattice site. We carried out Monte Carlo simulations on the planes (D′,kBT′) and (J2′,kBT′) to investigate the influence of exchange...