Characterizing semigroups $X$ with commutative extensions $φ(X)$ , $λ(X)$ , $N_2(X)$ , $\upsilon(X)$

preprint2013arXivOpen access

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

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Characterizing semigroups $X$ with commutative extensions $φ(X)$ , $λ(X)$ , $N_2(X)$ , $\upsilon(X)$

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Characterizing semigroups XXX with commutative extensions φ(X)φ(X)φ(X), λ(X)λ(X)λ(X), N2(X)N_2(X)N2​(X), υ(X)\upsilon(X)υ(X)

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Characterizing semigroups $X$ with commutative extensions $φ(X)$ , $λ(X)$ , $N_2(X)$ , $\upsilon(X)$