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.
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The authors sincerely thank the anonymous reviewer for him/his careful reading, constructive comments and fruitful suggestions to improve the quality of the first draft.
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Communicated by Anthony To-Ming Lau.
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Nia, M.A., Ebadian, A. & Jabbari, A. Set amenability for semigroups. Semigroup Forum 95, 555–568 (2017). https://doi.org/10.1007/s00233-017-9852-y
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DOI: https://doi.org/10.1007/s00233-017-9852-y