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Some dimensions of DG polynomial algebras
Published 11 Feb 2019 in math.RA and math.RT | (1902.03762v3)
Abstract: Assume that $\mathcal{A}$ is a cochain DG polynomial algebra such that its underlying graded algebra $\mathcal{A}{#}$ is a polynomial algebra generated by $n$ degree $1$ elements. We determine the DG Krull dimension, the global dimension, the ghost dimension and the Rouquier dimension of $\mathcal{A}$.
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