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Set amenability for semigroups

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In this paper a concept of amenability for an arbitrary subset A of discrete semigroup S called A-amenable is introduced and studied. This concept is characterized by several equivalent statements… Click to show full abstract

In this paper a concept of amenability for an arbitrary subset A of discrete semigroup S called A-amenable is introduced and studied. This concept is characterized by several equivalent statements which are analogues of properties characterizing left amenable semigroups. We also obtain the relationship between this version of amenability and Følner’s condition.

Keywords: set amenability; amenability; amenability semigroups

Journal Title: Semigroup Forum
Year Published: 2017

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