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We characterize semigroups $X$ whose semigroups of filters $\varphi(X)$,maximal linked systems $\lambda(X)$, linked upfamilies $N_2(X)$, and upfamilies$\upsilon(X)$ are commutative.

Characterizing semigroups $X$ with commutative extensions $\varphi(X)$, $\lambda(X)$, $N_2(X)$, $\upsilon(X)$