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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Then, in a separate section, we present sufficient conditions on a special case for PE to be minimal whilst it is inefficient.
📌 3 Key Takeaways
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Objective & Hypothesis:As a continues study of the paper [4], in here, we first state and prove the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say PE, of the semi-direct product of a free abelian monoid rank two by a finite cyclic monoid.
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Key Findings & Data:As a continues study of the paper [4], in here, we first state and prove the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say PE, of the semi-direct product of a free abelian monoid rank two by a finite cyclic monoid.
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Conclusion & Impact:Then, in a separate section, we present sufficient conditions on a special case for PE to be minimal whilst it is inefficient.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Minimality · Efficiency · p-Cockcroft property
Abstract
As a continues study of the paper [4], in here, we first state and prove the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say PE, of the semi-direct product of a free abelian monoid rank two by a finite cyclic monoid. Then, in a separate section, we present sufficient conditions on a special case for PE to be minimal whilst it is inefficient.
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Cite This Article
Cevik, A. S., Das, K. C., Cangul, İ. N., Maden, A. D. (2014). Minimality over free monoid presentations. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 6. https://ajindex.com/articles/1403342