arXiv · 1107.1827
Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent elements.
Lin Xianzu. 2011-07-10. Nilpotent Elements of Vertex Algebras. https://arxiv.org/abs/1107.1827
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