Amini Nia, M., & Ebadian, A. (2023). Set inner amenability for semigroups. Advances in the Theory of Nonlinear Analysis and Its Application, 4(3), 176–183.
- ISSN: 2587-2648
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Moslem Amini Niaa, Ali Ebadianb
aDepartment of Mathematics, Payame Noor University, Tehran, Iran
bDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
In this paper, we present a new concept of inner amenability for a non-empty arbitrary subset A of a discrete semigroup S, called A-inner amenability. This condition is considerably weaker than ordinary inner amenability. Furthermore, we show some relationships between this version of inner amenability and Følner’s condition.
Keywords: Set amenability, set inner amenability, semigroup.
Amini Nia, M., & Ebadian, A. (2023). Set inner amenability for semigroups. Advances in the Theory of Nonlinear Analysis and Its Application, 4(3), 176–183.