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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper, we show that composition commutes with SAGBI basis computation (possibly under different monomial orderings) if the leading monomials of the composition polynomials are a permuted powering.
📌 3 Key Takeaways
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Objective & Hypothesis:Composition is the operation of replacing variables in a polynomial by other polynomials.
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Key Findings & Data:Composition is the operation of replacing variables in a polynomial by other polynomials.
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Conclusion & Impact:In this paper, we show that composition commutes with SAGBI basis computation (possibly under different monomial orderings) if the leading monomials of the composition polynomials are a permuted powering.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:SAGBI basis · composition operation
Abstract
Composition is the operation of replacing variables in a polynomial by other polynomials. In this paper, we show that composition commutes with SAGBI basis computation (possibly under different monomial orderings) if the leading monomials of the composition polynomials are a permuted powering.
Keywords
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Cite This Article
Khan, J. A. (2016). FURTHER ON THE COMPOSITION OF SAGBI BASES. International Electronic Journal of Algebra, Cilt: 20 - Sayı: 20, 100–110. https://ajindex.com/articles/832373