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Further, X is called left amenable if X has a left invariant mean.
A discrete semigroup is called left amenable [6] if has a left invariant mean.
As is well known, the class of left reversible semigroups includes all commutative semigroups and if a semigroup G is left amenable, then G is left reversible.
Also left amenable and in particular amenable semitopological semigroups are left reversible [1].
He proved that any discrete left amenable semigroup has a common fixed point.
If a semigroup S is left amenable, then S is left reversible [10, 11].
Similar(33)
(iii) ({mathcal A}) is properly left algebraically amenable if for any (varepsilon >0) and any finite set (mathcal {F}subset {mathcal A}), there exists a left ((mathcal {F}, varepsilon ))-Følner subspace W such that (mathcal {F} subset W). .
({mathcal A}) is properly left algebraically amenable if for any (varepsilon >0) and any finite set (mathcal {F}subset {mathcal A}), there exists a left ((mathcal {F}, varepsilon ))-Følner subspace W such that (mathcal {F} subset W).
(ii) ({mathcal A}) is left algebraically amenable if for any (varepsilon >0) and any finite set (mathcal {F}subset {mathcal A}), there exists a left ((mathcal {F}, varepsilon ))-Følner subspace.
X is amenable if X is left and right amenable.
S is a amenable if S is left and right amenable.
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