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arxiv: 1902.03762 · v3 · pith:AVZ2PBFPnew · submitted 2019-02-11 · 🧮 math.RA · math.RT

Some dimensions of DG polynomial algebras

classification 🧮 math.RA math.RT
keywords dimensionalgebramathcalpolynomialalgebrasassumecochaindegree
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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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