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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In the final part of this paper, we give necessary and sufficient conditions for this new version to be periodic and locally finite.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper we first define a \textit{new version} of the Sch\"{u}tzenberger product for any two monoids $A$ and $B$, and then, by defining a generating and relator set, we present some finite and infinite consequences of the main result.
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Key Findings & Data:In this paper we first define a \textit{new version} of the Sch\"{u}tzenberger product for any two monoids $A$ and $B$, and then, by defining a generating and relator set, we present some finite and infinite consequences of the main result.
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Conclusion & Impact:In the final part of this paper, we give necessary and sufficient conditions for this new version to be periodic and locally finite.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Presentation · Sch\"{u}tzenberger and wreath products · periodicity
Abstract
In this paper we first define a \textit{new version} of the Sch\"{u}tzenberger product for any two monoids $A$ and $B$, and then, by defining a generating and relator set, we present some finite and infinite consequences of the main result. In the final part of this paper, we give necessary and sufficient conditions for this new version to be periodic and locally finite.
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Cite This Article
KARPUZ, E. G., ATEŞ, F., ÇEVİK, A. S., CANGÜL, İ. N. (2022). A presentation and some finiteness conditions for a new version of the Schützenberger product of monoids. Turkish Journal of Mathematics, Cilt: 40 - Sayı: 1, 224–233. https://ajindex.com/articles/608144