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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We present their connection to the Sagbi basis concept, characterize SH-basis and show how to construct them.
📌 3 Key Takeaways
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Objective & Hypothesis:The H-basis concept allows an investigation of multivariate polynomial spaces degree by degree.
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Key Findings & Data:In this paper we present the analogue of Hbases for subalgebras in polynomial rings, we call them "SH-bases".
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Conclusion & Impact:We present their connection to the Sagbi basis concept, characterize SH-basis and show how to construct them.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gröbner basis · Sagbi basis · H-basis
Abstract
The H-basis concept allows an investigation of multivariate polynomial spaces degree by degree. In this paper we present the analogue of Hbases for subalgebras in polynomial rings, we call them "SH-bases". We present their connection to the Sagbi basis concept, characterize SH-basis and show how to construct them.
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Cite This Article
KHAN, J. A., BINYAMIN, M. A., Rabia, R. (2022). Subalgebra analogue to H-basis for ideals. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 6, 1685–1692. https://ajindex.com/articles/530071