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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper we investigate the structure of minimal generating sets of the subsemigroup DPn,r = {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup ODPn,r = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.
📌 3 Key Takeaways
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Objective & Hypothesis:Let DPn and ODPn be the semigroups of all isometries and of all order-preserving isometries on Xn, respectively.
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Key Findings & Data:Let DPn and ODPn be the semigroups of all isometries and of all order-preserving isometries on Xn, respectively.
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Conclusion & Impact:In this paper we investigate the structure of minimal generating sets of the subsemigroup DPn,r = {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup ODPn,r = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Let DPn and ODPn be the semigroups of all isometries and of all order-preserving isometries on Xn, respectively. In this paper we investigate the structure of minimal generating sets of the subsemigroup DPn,r = {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup ODPn,r = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1.
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Cite This Article
Bugay, L., Yağcı, M. (2022). On Minimal Generating Sets of Certain Subsemigroups of Isometries. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 2, 71–78. https://ajindex.com/articles/578831