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The violation of the non-Abelian Bianchi identities (VNABI) $J_{\\mu}$ is equal to Abelian-like monopole currents $k_{\\mu}$ defined by the violation of the Abelian-like Bianchi identities. Although VNABI is an adjoint operator satisfying the covariant conservation rule $D_{\\mu}J_{\\mu}=0$, it gives us, at the same time, the Abelian-like conservation rule $\\partial_{\\mu}J_{\\mu}=0$. The Abelian-like conservation rule $\\partial_{\\mu}J_{\\mu}=0$ is also gauge-covariant. 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The violation of the non-Abelian Bianchi identities (VNABI) $J_{\\mu}$ is equal to Abelian-like monopole currents $k_{\\mu}$ defined by the violation of the Abelian-like Bianchi identities. Although VNABI is an adjoint operator satisfying the covariant conservation rule $D_{\\mu}J_{\\mu}=0$, it gives us, at the same time, the Abelian-like conservation rule $\\partial_{\\mu}J_{\\mu}=0$. The Abelian-like conservation rule $\\partial_{\\mu}J_{\\mu}=0$ is also gauge-covariant. 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