Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2026 / Cilt: 4 Sayı: 3

Set inner amenability for semigroups

Moslem Amini Nia(Payame Noor University)
Ali Ebadian(Urmia University)
Pages
176–183
Publication Date
2020-08-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further, we give some equivalent conditions between this version of inner amenability and Flner's condition.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we present a new concept of inner amenability for a non- empty arbitrary subset A of discrete semigroup S called A-inner amenablility.
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Key Findings & Data:This condition is considerably weaker than ordinary inner amenability.
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Conclusion & Impact:Further, we give some equivalent conditions between this version of inner amenability and Flner's condition.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Amenable semigroups · semigroup · homomorphism

Abstract

In this paper, we present a new concept of inner amenability for a non- empty arbitrary subset A of discrete semigroup S called A-inner amenablility. This condition is considerably weaker than ordinary inner amenability. Further, we give some equivalent conditions between this version of inner amenability and Flner's condition.

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Cite This Article

Nia, M. A., Ebadian, A. (2020). Set inner amenability for semigroups. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 4 Sayı: 3, 176–183. https://doi.org/10.31197/atnaa.573763

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References (1)

  1. M. M. Day, Amenable semigroups,