An Elimination Lemma for Algebras with PBW Bases

2016/10/20 by Huishi Li, Li, Huishi · 1 citation
Computer Science · Mathematics · #13P10 #16W70 #16Z05 #68W30 #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1610.06364

openalex publication_date 2016/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let K be a field, and A=K[a₁,… ,a_n] a finitely generated K-algebra with the PBW K-basis \cal B=\a₁^α₁⋯ a_n^α_n~|~(α₁,… ,α_n)∈ℕⁿ\. It is shown that if L is a nonzero left ideal of A with GK.dim(A/L)=d

Citations

• A Constructive Characterization of Solvable Polynomial Algebras
• Looking for Groebner Basis Theory for (Almost) Skew 2-Nomial Algebras

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